# CIND 820: Anlalyzing APS data set


# preparing 2018 APS data as the training set


# calling libraries
library(tidyverse)
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library(corrgram)
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library(corrplot)
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library(likert)
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library(party)
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# reading 2018 aps data set
aps <- read.csv("/Users/ibrahimibrahim/Documents/Ryerson/820/data set/2018-aps-employee-census-dataset.csv",stringsAsFactors = TRUE, na.strings = " ")

# when I first examined the dataset, I found out there were no NAs and all unaswered questions
# were categorized as " ", so I modified the read.csv file to regard " " as NA using na.strings=" " 
# all variables are factors so I chose stringAsFators=True


# overview
#head(aps)
#tail(aps)
#str(aps)
#summary(aps)


# renaming variables and creating a new data frame with reduced number of variables

# reading new column names from a csv file
column_names_1 <- read.csv("/Users/ibrahimibrahim/Documents/Ryerson/820/data set/column_names_2018.csv",stringsAsFactors = FALSE, header = TRUE)

aps_new_column_names <- aps
names(aps_new_column_names)[1:301] <- c(column_names_1$new.column.name)
aps_reduced <- select(aps_new_column_names, -contains("disregarded"))


# On page 1 of instructions on how to complete the census, employees were told:
# 1- You are then free to skip and not answer any other questions that you may not want to answer.
# 2- If you cannot answer a question, please feel free to leave it blank.

# a few questions also had the option of answering with "I do not know" which could be 
# one of the motivations for skipping a question - so "I do not know" answers cannot be 
# treated as unique vs. skipped questions (these answers are likely a subset of skipped questions)
# therefore after initial exploration, "I do not know" answers will be treated the same
# way as skipped questions 

# Skippig questions was allowed in survey, so will check for missing values
sum(is.na(aps_reduced))       
## [1] 362167
aps_reduced$number_skipped_questions <- rowSums(is.na(aps_reduced))
table(aps_reduced$number_skipped_questions)
## 
##     0     1     2     3     4     5     6     7     8     9    10    11    12 
## 80389 10372  1852   651   353   535   221   386   188   107   131   109   258 
##    13    14    15    16    17    18    19    20    21    22    23    24    25 
##   250   108    85    78    97  1128   432   137    69    54   290   108    78 
##    26    27    28    29    30    31    32    33    34    35    36    37    38 
##    44    36    44    48   268   102   198    23    30    24    53    72   372 
##    39    40    41    42    43    44    45    46    47    48    49    50    51 
##    62    25    22    39    23    26    31    13    14   197    40    30    19 
##    52    53    54    55    56    57    58    59    60    61    62    63    64 
##    15    26    26   413    62    27     7    17   241    33    19    11     8 
##    65    66    67    68    69    70    71    72    73    74    75    76    77 
##     9    19   354    38    14    11     8    10     8    20     9    10    14 
##    78    79    80    81    82    83    84    85    86    87    88    89    90 
##   318    11     7     7   211    10     3     3     7     8    12     9    16 
##    91    92 
##    25   740
number_skipped_questions_above_0 <- aps_reduced$number_skipped_questions[aps_reduced$number_skipped_questions>0]
table(number_skipped_questions_above_0)
## number_skipped_questions_above_0
##     1     2     3     4     5     6     7     8     9    10    11    12    13 
## 10372  1852   651   353   535   221   386   188   107   131   109   258   250 
##    14    15    16    17    18    19    20    21    22    23    24    25    26 
##   108    85    78    97  1128   432   137    69    54   290   108    78    44 
##    27    28    29    30    31    32    33    34    35    36    37    38    39 
##    36    44    48   268   102   198    23    30    24    53    72   372    62 
##    40    41    42    43    44    45    46    47    48    49    50    51    52 
##    25    22    39    23    26    31    13    14   197    40    30    19    15 
##    53    54    55    56    57    58    59    60    61    62    63    64    65 
##    26    26   413    62    27     7    17   241    33    19    11     8     9 
##    66    67    68    69    70    71    72    73    74    75    76    77    78 
##    19   354    38    14    11     8    10     8    20     9    10    14   318 
##    79    80    81    82    83    84    85    86    87    88    89    90    91 
##    11     7     7   211    10     3     3     7     8    12     9    16    25 
##    92 
##   740
sum(table(number_skipped_questions_above_0))       # a total of 22,748 respondents who skipped questions
## [1] 22748
prop.table(table(number_skipped_questions_above_0))*100
## number_skipped_questions_above_0
##           1           2           3           4           5           6 
## 45.59521716  8.14137507  2.86179005  1.55178477  2.35185511  0.97151398 
##           7           8           9          10          11          12 
##  1.69685247  0.82644628  0.47037102  0.57587480  0.47916300  1.13416564 
##          13          14          15          16          17          18 
##  1.09899771  0.47476701  0.37365922  0.34288729  0.42641111  4.95867769 
##          19          20          21          22          23          24 
##  1.89906805  0.60225075  0.30332337  0.23738351  1.27483735  0.47476701 
##          25          26          27          28          29          30 
##  0.34288729  0.19342360  0.15825567  0.19342360  0.21100756  1.17812555 
##          31          32          33          34          35          36 
##  0.44839107  0.87040619  0.10110779  0.13187973  0.10550378  0.23298752 
##          37          38          39          40          41          42 
##  0.31651134  1.63530860  0.27255143  0.10989977  0.09671180  0.17144364 
##          43          44          45          46          47          48 
##  0.10110779  0.11429576  0.13627572  0.05714788  0.06154387  0.86601020 
##          49          50          51          52          53          54 
##  0.17583963  0.13187973  0.08352383  0.06593986  0.11429576  0.11429576 
##          55          56          57          58          59          60 
##  1.81554422  0.27255143  0.11869175  0.03077194  0.07473184  1.05943380 
##          61          62          63          64          65          66 
##  0.14506770  0.08352383  0.04835590  0.03516793  0.03956392  0.08352383 
##          67          68          69          70          71          72 
##  1.55618076  0.16704765  0.06154387  0.04835590  0.03516793  0.04395991 
##          73          74          75          76          77          78 
##  0.03516793  0.08791982  0.03956392  0.04395991  0.06154387  1.39792509 
##          79          80          81          82          83          84 
##  0.04835590  0.03077194  0.03077194  0.92755407  0.04395991  0.01318797 
##          85          86          87          88          89          90 
##  0.01318797  0.03077194  0.03516793  0.05275189  0.03956392  0.07033585 
##          91          92 
##  0.10989977  3.25303323
barplot(prop.table(table(number_skipped_questions_above_0))*100, main = "Frequency of questions skipped by participants", xlab = "number of questions skipped", ylab = "% of total participants")

# Univariate analysis

# Examining the first 2 (and only demographic) variables :  org_size and employee_level

# first variable org_size

# check for unique values, re-order factor levels and rename factor levels
unique(aps_reduced$org_size)
## [1] Small (Less than 250 employees) Large (1,001 or more employees)
## [3] Medium (251 to 1,000 employees)
## 3 Levels: Large (1,001 or more employees) ... Small (Less than 250 employees)
levels(aps_reduced$org_size)
## [1] "Large (1,001 or more employees)" "Medium (251 to 1,000 employees)"
## [3] "Small (Less than 250 employees)"
aps_reduced$org_size <- fct_relevel(aps_reduced$org_size, c("Small (Less than 250 employees)", "Medium (251 to 1,000 employees)", "Large (1,001 or more employees)"))
levels(aps_reduced$org_size)
## [1] "Small (Less than 250 employees)" "Medium (251 to 1,000 employees)"
## [3] "Large (1,001 or more employees)"
levels(aps_reduced$org_size) <- list("1" = "Small (Less than 250 employees)", "2" = "Medium (251 to 1,000 employees)",  "3" = "Large (1,001 or more employees)")
levels(aps_reduced$org_size)
## [1] "1" "2" "3"
# frequency table and check for unclassified
org_size_table <- table(aps_reduced$org_size, useNA = "always")
org_size_table
## 
##     1     2     3  <NA> 
##  3840  9748 89549     0
prop.table(org_size_table)*100
## 
##         1         2         3      <NA> 
##  3.723203  9.451506 86.825291  0.000000
# visualization
ggplot(aps_reduced, aes(x = org_size, fill=org_size)) + 
  geom_bar(show.legend = FALSE) + 
  labs(title = "Number of census participants by size of organization",
       subtitle = "Small(Less than 250 employees)=1,  Medium(251 to 1,000 employees)=2,  Large(1,001 or more employees)=3",
       x = "") +
  theme_bw() +
  geom_text(stat='count', aes(label=..count..), vjust=-1)

# second variable employee_level

# check for unique values, re-order factor levels and rename factor levels
unique(aps_reduced$employee_level)
## [1] Trainee/Graduate/APS EL                   SES                 
## [4] <NA>                
## Levels: EL SES Trainee/Graduate/APS
levels(aps_reduced$employee_level)
## [1] "EL"                   "SES"                  "Trainee/Graduate/APS"
aps_reduced$employee_level <- fct_relevel(aps_reduced$employee_level, c("Trainee/Graduate/APS", "EL", "SES"))
levels(aps_reduced$employee_level)
## [1] "Trainee/Graduate/APS" "EL"                   "SES"
levels(aps_reduced$employee_level) <- list("1" = "SES", "2" = "EL", "3" = "Trainee/Graduate/APS")
levels(aps_reduced$employee_level)
## [1] "1" "2" "3"
# frequency table and check for unclassified
employee_level_table <- table(aps_reduced$employee_level)
employee_level_table
## 
##     1     2     3 
##  2481 29937 70555
prop.table(employee_level_table)*100
## 
##         1         2         3 
##  2.409369 29.072670 68.517961
# visualization
ggplot(aps_reduced, aes(x = employee_level, fill=employee_level)) + 
  geom_bar(show.legend = FALSE) + 
  labs(title = "Employees classification level count",
       subtitle = "Senior executive=1,  executive=2,  non executive=3, skipped questions=NA",
       x = "") +
  theme_bw() +
  geom_text(stat='count', aes(label=..count..), vjust=-1)

# examining variables that will be combined to form the main scales that will be studied

# reformat_variable_group1: 
# a function to change a variable to factor, re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, 
# agency_engagement, wellbeing (Q9 to Q13), team_performance_support, risk_culture,
# innovation 

reformat_variable_group1 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Strongly disagree", "Disagree", "Neither agree nor disagree", "Agree", "Strongly agree"))
  
  levels(variable_to_be_used) <- list("1" = "Strongly disagree", "2" = "Disagree", "3" = "Neither agree nor disagree", "4" = "Agree", "5" = "Strongly agree")
  
  return(variable_to_be_used)
}
#end reformat_variable_group1

# reformat_variable_group2: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# leadership_engagement

unique(aps_reduced$leadership_engagement_1)
## [1] Agree                      Neither agree nor disagree
## [3] Disagree                   Strongly disagree         
## [5] Strongly agree             Do not know               
## [7] <NA>                      
## 6 Levels: Agree Disagree Do not know ... Strongly disagree
reformat_variable_group2 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Strongly disagree", "Disagree", "Neither agree nor disagree", "Agree", "Strongly agree", "Do not know"))
  
  levels(variable_to_be_used) <- list("1" = "Strongly disagree", "2" = "Disagree", "3" = "Neither agree nor disagree", "4" = "Agree", "5" = "Strongly agree", "Do not know" = "Do not know")
  
  return(variable_to_be_used)
}
#end reformat_variable_group2

# reformat_variable_group3: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# wellbeing_1

unique(aps_reduced$wellbeing_1)
## [1] Satisfied                         Very satisfied                   
## [3] Neither satisfied or dissatisfied Dissatisfied                     
## [5] <NA>                              Very dissatisfied                
## 5 Levels: Dissatisfied Neither satisfied or dissatisfied ... Very satisfied
reformat_variable_group3 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Very dissatisfied", "Dissatisfied",  "Neither satisfied or dissatisfied", "Satisfied", "Very satisfied"))
  
  levels(variable_to_be_used) <- list("1" = "Very dissatisfied", "2" = "Dissatisfied",  "3" = "Neither satisfied or dissatisfied", "4" = "Satisfied", "5" = "Very satisfied")
  
  return(variable_to_be_used)
}
#end reformat_variable_group3

# reformat_variable_group4: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# wellbeing_2 and wellbeing_6

unique(aps_reduced$wellbeing_2)
## [1] Rarely    Sometimes Often     Always    Never     <NA>     
## Levels: Always Never Often Rarely Sometimes
unique(aps_reduced$wellbeing_6)
## [1] Rarely    Sometimes Often     Never     Always    <NA>     
## Levels: Always Never Often Rarely Sometimes
reformat_variable_group4 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Always", "Often", "Sometimes", "Rarely", "Never"))
  
  levels(variable_to_be_used) <- list("1" = "Always", "2" = "Often", "3" = "Sometimes", "4" = "Rarely", "5" = "Never")
  
  return(variable_to_be_used)
}
#end reformat_variable_group4

# reformat_variable_group5: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# wellbeing_3, wellbeing_4, wellbeing_=5, wellbeing_7, wellbeing_8

unique(aps_reduced$wellbeing_3)
## [1] Often     Always    Sometimes Never     Rarely    <NA>     
## Levels: Always Never Often Rarely Sometimes
reformat_variable_group5 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Always", "Often", "Sometimes", "Rarely", "Never"))
  
  levels(variable_to_be_used) <- list("1" = "Never", "2" = "Rarely", "3" = "Sometimes", "4" = "Often", "5" = "Always")
  
  return(variable_to_be_used)
}
#end reformat_variable_group5


# reformat_variable_group7: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# values

unique(aps_reduced$values_1)
## [1] Always    Not sure  Often     <NA>      Sometimes Rarely    Never    
## Levels: Always Never Not sure Often Rarely Sometimes
reformat_variable_group7 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("Never", "Rarely", "Sometimes", "Often", "Always", "Not sure"))
  
  levels(variable_to_be_used) <- list("1" = "Never", "2" = "Rarely", "3" = "Sometimes", "4" = "Often", "5" = "Always", "Not sure" = "Not sure")
  
  return(variable_to_be_used)
}
#end reformat_variable_group7

# reformat_variable_group8: 
# a function to re-order factor levels, rename factor levels:
# this function will be applied to the following variables:
# team_performance_rating

unique(aps_reduced$team_performance_rating)
##  [1] 8          9          6          7          Don't know <NA>      
##  [7] 2          3          5          10         4          1         
## Levels: 1 10 2 3 4 5 6 7 8 9 Don't know
unique(aps_reduced$agency_performance_rating)
## NULL
reformat_variable_group8 <- function(variable_to_be_used){
  # re-order factor levels and rename factor levels 
  variable_to_be_used <- fct_relevel(variable_to_be_used, c("1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "Don't know"))
  
  levels(variable_to_be_used) <- list("1" = "1", "2" = "2", "3" = "3", "4" = "4", "5" = "5", "6" = "6", "7" = "7", "8" = "8", "9" = "9", "10" = "10", "Don't know" = "Don't know")
  
  return(variable_to_be_used)
}
#end reformat_variable_group8

# function to generate a barplot for each variable - except dependent variable

generate_barplot <- function(variable_to_be_used){
  name_to_display <- deparse(substitute(variable_to_be_used))
  
  barplot_1 <- ggplot(aps_reduced, aes(x = variable_to_be_used, fill=variable_to_be_used)) + 
    geom_bar(show.legend = FALSE) + 
    labs(title = name_to_display,  
         subtitle = "(Strongly disagree=1, Disagree=2, Neither agree nor disagree=3, Agree=2, Strongly agree=1, Skipped question=NA)",
         x = "") +
    theme_bw() +
    geom_text(stat='count', aes(label=..count..), vjust=-1) 
  
  return(barplot_1)
}

# function to generate a barplot for dependent variable

generate_barplot_dep_var <- function(variable_to_be_used){
  name_to_display <- deparse(substitute(variable_to_be_used))
  
  barplot_1 <- ggplot(aps_reduced, aes(x = variable_to_be_used, fill=variable_to_be_used)) + 
    geom_bar(show.legend = FALSE) + 
    labs(title = name_to_display,  
         subtitle = "(1=workgroup’s worst performance, 5=average workgroup performance, 10=the best your workgroup has ever worked, NA=Skipped question)",
         x = "") +
    theme_bw() +
    geom_text(stat='count', aes(label=..count..), vjust=-1) 
  
  return(barplot_1)
}


# job_engagement reformatting

aps_reduced$job_engagement_1 <- reformat_variable_group1(aps_reduced$job_engagement_1)
generate_barplot(aps_reduced$job_engagement_1)

aps_reduced$job_engagement_2 <- reformat_variable_group1(aps_reduced$job_engagement_2)
generate_barplot(aps_reduced$job_engagement_2)

# code to check that outputs of function reformat_variable_group1 are correct compared to outputs
# I got earlier on job_engagement_1 and job_engagement_2 not using the function
str(aps_reduced$job_engagement_1)
##  Factor w/ 5 levels "1","2","3","4",..: 2 5 4 4 5 4 2 4 5 4 ...
levels(aps_reduced$job_engagement_1)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$job_engagement_1)
##     1     2     3     4     5  NA's 
##  2221  7677 10939 60553 20805   942
sum(is.na(aps_reduced$job_engagement_1))
## [1] 942
str(aps_reduced$job_engagement_2)
##  Factor w/ 5 levels "1","2","3","4",..: 2 4 5 4 4 3 2 4 5 4 ...
levels(aps_reduced$job_engagement_2)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$job_engagement_2)
##     1     2     3     4     5  NA's 
##  3564 10283 15927 54321 17971  1071
sum(is.na(aps_reduced$job_engagement_2))
## [1] 1071
aps_reduced$job_engagement_3 <- reformat_variable_group1(aps_reduced$job_engagement_3)
generate_barplot(aps_reduced$job_engagement_3)

aps_reduced$job_engagement_4 <- reformat_variable_group1(aps_reduced$job_engagement_4)
generate_barplot(aps_reduced$job_engagement_4)

aps_reduced$job_engagement_5 <- reformat_variable_group1(aps_reduced$job_engagement_5)
generate_barplot(aps_reduced$job_engagement_5)

aps_reduced$job_engagement_6 <- reformat_variable_group1(aps_reduced$job_engagement_6)
generate_barplot(aps_reduced$job_engagement_6)

aps_reduced$job_engagement_7 <- reformat_variable_group1(aps_reduced$job_engagement_7)
generate_barplot(aps_reduced$job_engagement_7)

aps_reduced$job_engagement_8 <- reformat_variable_group1(aps_reduced$job_engagement_8)
generate_barplot(aps_reduced$job_engagement_8)

aps_reduced$job_engagement_9 <- reformat_variable_group1(aps_reduced$job_engagement_9)
generate_barplot(aps_reduced$job_engagement_9)

aps_reduced$job_engagement_10 <- reformat_variable_group1(aps_reduced$job_engagement_10)
generate_barplot(aps_reduced$job_engagement_10)

# team_engagement reformatting

aps_reduced$team_engagement_1 <- reformat_variable_group1(aps_reduced$team_engagement_1)
generate_barplot(aps_reduced$team_engagement_1)

aps_reduced$team_engagement_2 <- reformat_variable_group1(aps_reduced$team_engagement_2)
generate_barplot(aps_reduced$team_engagement_2)

aps_reduced$team_engagement_3 <- reformat_variable_group1(aps_reduced$team_engagement_3)
generate_barplot(aps_reduced$team_engagement_3)

aps_reduced$team_engagement_4 <- reformat_variable_group1(aps_reduced$team_engagement_4)
generate_barplot(aps_reduced$team_engagement_4)

# supervisor_engagement reformatting

aps_reduced$supervisor_engagement_1 <- reformat_variable_group1(aps_reduced$supervisor_engagement_1)
generate_barplot(aps_reduced$supervisor_engagement_1)

aps_reduced$supervisor_engagement_2 <- reformat_variable_group1(aps_reduced$supervisor_engagement_2)
generate_barplot(aps_reduced$supervisor_engagement_2)

aps_reduced$supervisor_engagement_3 <- reformat_variable_group1(aps_reduced$supervisor_engagement_2)
## Warning: Unknown levels in `f`: Strongly disagree, Disagree, Neither agree nor
## disagree, Agree, Strongly agree
generate_barplot(aps_reduced$supervisor_engagement_2)

aps_reduced$supervisor_engagement_4 <- reformat_variable_group1(aps_reduced$supervisor_engagement_4)
generate_barplot(aps_reduced$supervisor_engagement_4)

aps_reduced$supervisor_engagement_5 <- reformat_variable_group1(aps_reduced$supervisor_engagement_5)
generate_barplot(aps_reduced$supervisor_engagement_5)

aps_reduced$supervisor_engagement_6 <- reformat_variable_group1(aps_reduced$supervisor_engagement_6)
generate_barplot(aps_reduced$supervisor_engagement_6)

aps_reduced$supervisor_engagement_7 <- reformat_variable_group1(aps_reduced$supervisor_engagement_7)
generate_barplot(aps_reduced$supervisor_engagement_7)

aps_reduced$supervisor_engagement_8 <- reformat_variable_group1(aps_reduced$supervisor_engagement_8)
generate_barplot(aps_reduced$supervisor_engagement_8)

aps_reduced$supervisor_engagement_9 <- reformat_variable_group1(aps_reduced$supervisor_engagement_9)
generate_barplot(aps_reduced$supervisor_engagement_9)

aps_reduced$supervisor_engagement_10 <- reformat_variable_group1(aps_reduced$supervisor_engagement_10)
generate_barplot(aps_reduced$supervisor_engagement_10)

aps_reduced$supervisor_engagement_11 <- reformat_variable_group1(aps_reduced$supervisor_engagement_11)
generate_barplot(aps_reduced$supervisor_engagement_11)

# senior_manager_engagement reformatting

aps_reduced$senior_manager_engagement_1 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_1)
generate_barplot(aps_reduced$senior_manager_engagement_1)

aps_reduced$senior_manager_engagement_2 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_2)
generate_barplot(aps_reduced$senior_manager_engagement_2)

aps_reduced$senior_manager_engagement_3 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_3)
generate_barplot(aps_reduced$senior_manager_engagement_3)

aps_reduced$senior_manager_engagement_4 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_4)
generate_barplot(aps_reduced$senior_manager_engagement_4)

aps_reduced$senior_manager_engagement_5 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_5)
generate_barplot(aps_reduced$senior_manager_engagement_5)

aps_reduced$senior_manager_engagement_6 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_6)
generate_barplot(aps_reduced$senior_manager_engagement_6)

aps_reduced$senior_manager_engagement_7 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_7)
generate_barplot(aps_reduced$senior_manager_engagement_7)

aps_reduced$senior_manager_engagement_8 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_8)
generate_barplot(aps_reduced$senior_manager_engagement_8)

aps_reduced$senior_manager_engagement_9 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_9)
generate_barplot(aps_reduced$senior_manager_engagement_9)

aps_reduced$senior_manager_engagement_10 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_10)
generate_barplot(aps_reduced$senior_manager_engagement_10)

aps_reduced$senior_manager_engagement_11 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_11)
generate_barplot(aps_reduced$senior_manager_engagement_11)

aps_reduced$senior_manager_engagement_12 <- reformat_variable_group1(aps_reduced$senior_manager_engagement_12)
generate_barplot(aps_reduced$senior_manager_engagement_12)

# agency_engagement reformatting

aps_reduced$agency_engagement_1 <- reformat_variable_group1(aps_reduced$agency_engagement_1)
generate_barplot(aps_reduced$agency_engagement_1)

aps_reduced$agency_engagement_2 <- reformat_variable_group1(aps_reduced$agency_engagement_2)
generate_barplot(aps_reduced$agency_engagement_2)

aps_reduced$agency_engagement_3 <- reformat_variable_group1(aps_reduced$agency_engagement_3)
generate_barplot(aps_reduced$agency_engagement_3)

aps_reduced$agency_engagement_4 <- reformat_variable_group1(aps_reduced$agency_engagement_4)
generate_barplot(aps_reduced$agency_engagement_4)

aps_reduced$agency_engagement_5 <- reformat_variable_group1(aps_reduced$agency_engagement_5)
generate_barplot(aps_reduced$agency_engagement_5)

aps_reduced$agency_engagement_6 <- reformat_variable_group1(aps_reduced$agency_engagement_6)
generate_barplot(aps_reduced$agency_engagement_6)

aps_reduced$agency_engagement_7 <- reformat_variable_group1(aps_reduced$agency_engagement_7)
generate_barplot(aps_reduced$agency_engagement_7)

aps_reduced$agency_engagement_8 <- reformat_variable_group1(aps_reduced$agency_engagement_8)
generate_barplot(aps_reduced$agency_engagement_8)

aps_reduced$agency_engagement_9 <- reformat_variable_group1(aps_reduced$agency_engagement_9)
generate_barplot(aps_reduced$agency_engagement_9)

aps_reduced$agency_engagement_10 <- reformat_variable_group1(aps_reduced$agency_engagement_10)
generate_barplot(aps_reduced$agency_engagement_10)

aps_reduced$agency_engagement_11 <- reformat_variable_group1(aps_reduced$agency_engagement_11)
generate_barplot(aps_reduced$agency_engagement_11)

aps_reduced$agency_engagement_12 <- reformat_variable_group1(aps_reduced$agency_engagement_12)
generate_barplot(aps_reduced$agency_engagement_12)

aps_reduced$agency_engagement_13 <- reformat_variable_group1(aps_reduced$agency_engagement_13)
generate_barplot(aps_reduced$agency_engagement_13)

aps_reduced$agency_engagement_14 <- reformat_variable_group1(aps_reduced$agency_engagement_14)
generate_barplot(aps_reduced$agency_engagement_14)

aps_reduced$agency_engagement_15 <- reformat_variable_group1(aps_reduced$agency_engagement_15)
generate_barplot(aps_reduced$agency_engagement_15)

aps_reduced$agency_engagement_16 <- reformat_variable_group1(aps_reduced$agency_engagement_16)
generate_barplot(aps_reduced$agency_engagement_16)

aps_reduced$agency_engagement_17 <- reformat_variable_group1(aps_reduced$agency_engagement_17)
generate_barplot(aps_reduced$agency_engagement_17)

# team_performance_support reformatting

aps_reduced$team_performance_support_1 <- reformat_variable_group1(aps_reduced$team_performance_support_1)
generate_barplot(aps_reduced$team_performance_support_1)

aps_reduced$team_performance_support_2 <- reformat_variable_group1(aps_reduced$team_performance_support_2)
generate_barplot(aps_reduced$team_performance_support_2)

aps_reduced$team_performance_support_3 <- reformat_variable_group1(aps_reduced$team_performance_support_3)
generate_barplot(aps_reduced$team_performance_support_3)

aps_reduced$team_performance_support_4 <- reformat_variable_group1(aps_reduced$team_performance_support_4)
generate_barplot(aps_reduced$team_performance_support_4)

# risk culture reformatting

aps_reduced$risk_culture_1 <- reformat_variable_group1(aps_reduced$risk_culture_1)
generate_barplot(aps_reduced$risk_culture_1)

aps_reduced$risk_culture_2 <- reformat_variable_group1(aps_reduced$risk_culture_2)
generate_barplot(aps_reduced$risk_culture_2)

aps_reduced$risk_culture_3 <- reformat_variable_group1(aps_reduced$risk_culture_3)
generate_barplot(aps_reduced$risk_culture_3)

aps_reduced$risk_culture_4 <- reformat_variable_group1(aps_reduced$risk_culture_4)
generate_barplot(aps_reduced$risk_culture_4)

aps_reduced$risk_culture_5 <- reformat_variable_group1(aps_reduced$risk_culture_5)
generate_barplot(aps_reduced$risk_culture_5)

# reformatting innovation

aps_reduced$innovation_1 <- reformat_variable_group1(aps_reduced$innovation_1)
generate_barplot(aps_reduced$innovation_1)

aps_reduced$innovation_2 <- reformat_variable_group1(aps_reduced$innovation_2)
generate_barplot(aps_reduced$innovation_2)

aps_reduced$innovation_3 <- reformat_variable_group1(aps_reduced$innovation_3)
generate_barplot(aps_reduced$innovation_3)

aps_reduced$innovation_4 <- reformat_variable_group1(aps_reduced$innovation_4)
generate_barplot(aps_reduced$innovation_4)

aps_reduced$innovation_5 <- reformat_variable_group1(aps_reduced$innovation_5)
generate_barplot(aps_reduced$innovation_5)

# leadership engagement reformatting - group2

aps_reduced$leadership_engagement_1 <- reformat_variable_group2(aps_reduced$leadership_engagement_1)
generate_barplot(aps_reduced$leadership_engagement_1)

# checking that function for reformartting variable worked
str(aps_reduced$leadership_engagement_1)
##  Factor w/ 6 levels "1","2","3","4",..: 4 3 4 3 4 4 4 4 4 2 ...
levels(aps_reduced$leadership_engagement_1)
## [1] "1"           "2"           "3"           "4"           "5"          
## [6] "Do not know"
summary(aps_reduced$leadership_engagement_1)
##           1           2           3           4           5 Do not know 
##        7191       14611       23717       40959       10008        2434 
##        NA's 
##        4217
sum(is.na(aps_reduced$leadership_engagement_1))
## [1] 4217
aps_reduced$leadership_engagement_2 <- reformat_variable_group2(aps_reduced$leadership_engagement_2)
generate_barplot(aps_reduced$leadership_engagement_2)

aps_reduced$leadership_engagement_3 <- reformat_variable_group2(aps_reduced$leadership_engagement_3)
generate_barplot(aps_reduced$leadership_engagement_3)

aps_reduced$leadership_engagement_4 <- reformat_variable_group2(aps_reduced$leadership_engagement_4)
generate_barplot(aps_reduced$leadership_engagement_4)

aps_reduced$leadership_engagement_5 <- reformat_variable_group2(aps_reduced$leadership_engagement_5)
generate_barplot(aps_reduced$leadership_engagement_5)

aps_reduced$leadership_engagement_6 <- reformat_variable_group2(aps_reduced$leadership_engagement_6)
generate_barplot(aps_reduced$leadership_engagement_6)

aps_reduced$leadership_engagement_7 <- reformat_variable_group2(aps_reduced$leadership_engagement_7)
generate_barplot(aps_reduced$leadership_engagement_7)

# wellbeing_1 reformatting - group3

aps_reduced$wellbeing_1 <- reformat_variable_group3(aps_reduced$wellbeing_1)
generate_barplot(aps_reduced$wellbeing_1)

# checking that function for reformartting variable worked
str(aps_reduced$wellbeing_1)
##  Factor w/ 5 levels "1","2","3","4",..: 4 5 5 4 4 5 4 3 5 2 ...
levels(aps_reduced$wellbeing_1)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$wellbeing_1)
##     1     2     3     4     5  NA's 
##  2760  9380 14034 51545 21730  3688
sum(is.na(aps_reduced$wellbeing_1))
## [1] 3688
# wellbeing_2 and wellbeing_6 reformatting - group4

aps_reduced$wellbeing_2 <- reformat_variable_group4(aps_reduced$wellbeing_2)
generate_barplot(aps_reduced$wellbeing_2)

aps_reduced$wellbeing_6 <- reformat_variable_group4(aps_reduced$wellbeing_6)
generate_barplot(aps_reduced$wellbeing_6)

# checking that function for reformartting variable worked
str(aps_reduced$wellbeing_2)
##  Factor w/ 5 levels "1","2","3","4",..: 4 4 3 4 3 4 2 3 4 1 ...
levels(aps_reduced$wellbeing_2)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$wellbeing_2)
##     1     2     3     4     5  NA's 
##  6592 19640 42664 25999  3992  4250
sum(is.na(aps_reduced$wellbeing_2))
## [1] 4250
str(aps_reduced$wellbeing_6)
##  Factor w/ 5 levels "1","2","3","4",..: 4 3 4 4 4 4 3 2 4 3 ...
levels(aps_reduced$wellbeing_6)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$wellbeing_6)
##     1     2     3     4     5  NA's 
##  3001  9229 34328 42409  9761  4409
sum(is.na(aps_reduced$wellbeing_6))
## [1] 4409
# wellbeing_3, wellbeing_4, wellbeing_=5, wellbeing_7, wellbeing_8 reformating - group5

aps_reduced$wellbeing_3 <- reformat_variable_group5(aps_reduced$wellbeing_3)
generate_barplot(aps_reduced$wellbeing_3)

str(aps_reduced$wellbeing_3)
##  Factor w/ 5 levels "1","2","3","4",..: 4 4 5 5 4 5 3 1 4 4 ...
levels(aps_reduced$wellbeing_3)
## [1] "1" "2" "3" "4" "5"
summary(aps_reduced$wellbeing_3)
##     1     2     3     4     5  NA's 
##  5178 11395 24327 44654 13314  4269
sum(is.na(aps_reduced$wellbeing_3))
## [1] 4269
aps_reduced$wellbeing_4 <- reformat_variable_group5(aps_reduced$wellbeing_4)
generate_barplot(aps_reduced$wellbeing_4)

aps_reduced$wellbeing_5 <- reformat_variable_group5(aps_reduced$wellbeing_5)
generate_barplot(aps_reduced$wellbeing_5)

aps_reduced$wellbeing_7 <- reformat_variable_group5(aps_reduced$wellbeing_7)
generate_barplot(aps_reduced$wellbeing_7)

aps_reduced$wellbeing_8 <- reformat_variable_group5(aps_reduced$wellbeing_8)
generate_barplot(aps_reduced$wellbeing_8)

# wellbeing_9,  wellbeing_10, wellbeing_11, wellbeing_12, wellbeing_13 reformatting - group1

aps_reduced$wellbeing_9 <- reformat_variable_group1(aps_reduced$wellbeing_9)
generate_barplot(aps_reduced$wellbeing_9)

aps_reduced$wellbeing_10 <- reformat_variable_group1(aps_reduced$wellbeing_10)
generate_barplot(aps_reduced$wellbeing_10)

aps_reduced$wellbeing_11 <- reformat_variable_group1(aps_reduced$wellbeing_11)
generate_barplot(aps_reduced$wellbeing_11)

aps_reduced$wellbeing_12 <- reformat_variable_group1(aps_reduced$wellbeing_12)
generate_barplot(aps_reduced$wellbeing_12)

aps_reduced$wellbeing_13 <- reformat_variable_group1(aps_reduced$wellbeing_13)
generate_barplot(aps_reduced$wellbeing_13)

# values reformatting - group7

aps_reduced$values_1 <- reformat_variable_group7(aps_reduced$values_1)
generate_barplot(aps_reduced$values_1)

str(aps_reduced$values_1)
##  Factor w/ 6 levels "1","2","3","4",..: 5 5 6 5 5 5 5 6 4 NA ...
levels(aps_reduced$values_1)
## [1] "1"        "2"        "3"        "4"        "5"        "Not sure"
summary(aps_reduced$values_1)
##        1        2        3        4        5 Not sure     NA's 
##      226     1203     7484    40234    46159     1373     6458
sum(is.na(aps_reduced$values_1))
## [1] 6458
aps_reduced$values_2 <- reformat_variable_group7(aps_reduced$values_2)
generate_barplot(aps_reduced$values_2)

aps_reduced$values_3 <- reformat_variable_group7(aps_reduced$values_3)
generate_barplot(aps_reduced$values_3)

# team_performance_rating reformatting - dependent variable - group8

aps_reduced$team_performance_rating <- reformat_variable_group8(aps_reduced$team_performance_rating)
generate_barplot_dep_var(aps_reduced$team_performance_rating)

str(aps_reduced$team_performance_rating)
##  Factor w/ 11 levels "1","2","3","4",..: 8 8 8 9 6 7 9 11 7 NA ...
levels(aps_reduced$team_performance_rating)
##  [1] "1"          "2"          "3"          "4"          "5"         
##  [6] "6"          "7"          "8"          "9"          "10"        
## [11] "Don't know"
summary(aps_reduced$team_performance_rating)
##          1          2          3          4          5          6          7 
##        617        763       1780       2324       9614       7470      17875 
##          8          9         10 Don't know       NA's 
##      29612      12697       5395       8487       6503
sum(is.na(aps_reduced$team_performance_rating))
## [1] 6503
# handling no response and I do not know / Not sure

# total number of skipped questions
sum(is.na(aps_reduced))         #362,030 skipped questions in 2018 vs. 355,416 in 2019 
## [1] 362030
table(rowSums((is.na(aps_reduced))>0)>0)  # 22,646 respondents in 2018 vs. 23,037 in 2019 
## 
## FALSE  TRUE 
## 80491 22646
# out of 129 variables, only the following have "I do not know" as an option for answers:
# leadership_engagement 1:7                                
length(which(aps_reduced=="Do not know"))   #31,282 responses in 2018 vs.31,247 in 2019 
## [1] 31282
table(rowSums(aps_reduced=="Do not know")>0)  #8,092 respondents in 2018 vs.7,990 in 2019 
## 
## FALSE  TRUE 
## 72399  8092
# team_performance_rating                                  
length(which(aps_reduced=="Don't know"))    #8,487 responses in 2018 vs. 8,726 in 2019  
## [1] 8487
table(rowSums(aps_reduced=="Don't know")>0) #6,572 respondents in 2018 vs.6,629 in 2019 
## 
## FALSE  TRUE 
## 73919  6572
# one variable had a "not sure" option": values 1:3        
length(which(aps_reduced=="Not sure"))    #17,277 responses in 2018 vs. 15,786 in 2019 
## [1] 17277
table(rowSums(aps_reduced=="Not sure")>0) #11,764 respondents in 2018 vs. 15,786 in 2019 
## 
## FALSE  TRUE 
## 68727 11764
# Handling of skipped questions and non standard answer options 
# a) removing all respondents with more than 13 skipped questions
# b) removing all respondents who answered the team performance question with either
# don't know or who skipped
# c) replacing all "Do not know" for leadership_engagement 1 to 7 with "3" of each variable
# d) replacing all re "not sure" for values 1 to 3 with "3" for each variable
# e) replacing all remaining skipped questions with "3" for each variable

# a) removing all respondents with more than 13 skipped questions

number_skipped_questions_above_0 <- aps_reduced$number_skipped_questions[aps_reduced$number_skipped_questions>0]
#data[data[, "Var"]<=13, ]
question_threshold <- 3
aps_reduced <- aps_reduced[aps_reduced[ , "number_skipped_questions"]<=question_threshold, ]

# b) removing all respondents who answered the team performance question with either
# Don't know or who skipped

aps_reduced <- aps_reduced[aps_reduced[ , "team_performance_rating"]!="Don't know", ]
aps_reduced <- aps_reduced[!is.na(aps_reduced$team_performance_rating) , ]
levels(aps_reduced$team_performance_rating)
##  [1] "1"          "2"          "3"          "4"          "5"         
##  [6] "6"          "7"          "8"          "9"          "10"        
## [11] "Don't know"
# c) replacing all "Do not know" for leadership_engagement 1 to 7 with "3"

replacement_for_Do_not_know <- "3"

aps_reduced$leadership_engagement_1 <- replace(aps_reduced$leadership_engagement_1, aps_reduced$leadership_engagement_1 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_2 <- replace(aps_reduced$leadership_engagement_2, aps_reduced$leadership_engagement_2 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_3 <- replace(aps_reduced$leadership_engagement_3, aps_reduced$leadership_engagement_3 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_4 <- replace(aps_reduced$leadership_engagement_4, aps_reduced$leadership_engagement_4 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_5 <- replace(aps_reduced$leadership_engagement_5, aps_reduced$leadership_engagement_5 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_6 <- replace(aps_reduced$leadership_engagement_6, aps_reduced$leadership_engagement_6 == "Do not know", replacement_for_Do_not_know)
aps_reduced$leadership_engagement_7 <- replace(aps_reduced$leadership_engagement_7, aps_reduced$leadership_engagement_7 == "Do not know", replacement_for_Do_not_know)


# d) replacing all re "Not sure" for values 1 to 3 with "3"

replacement_for_Not_sure <- "3"

aps_reduced$values_1 <- replace(aps_reduced$values_1, aps_reduced$values_1 == "Not sure", replacement_for_Not_sure)
aps_reduced$values_2 <- replace(aps_reduced$values_2, aps_reduced$values_2 == "Not sure", replacement_for_Not_sure)
aps_reduced$values_3 <- replace(aps_reduced$values_3, aps_reduced$values_3 == "Not sure", replacement_for_Not_sure)

# e) replacing all remaining skipped questions with "3"

replacement_for_NAs <- "3"


aps_reduced$org_size[which(is.na(aps_reduced$org_size))] = replacement_for_NAs 
aps_reduced$employee_level[which(is.na(aps_reduced$employee_level))] = replacement_for_NAs

aps_reduced$job_engagement_1[which(is.na(aps_reduced$job_engagement_1))] = replacement_for_NAs
aps_reduced$job_engagement_2[which(is.na(aps_reduced$job_engagement_2))] = replacement_for_NAs
aps_reduced$job_engagement_3[which(is.na(aps_reduced$job_engagement_3))] = replacement_for_NAs 
aps_reduced$job_engagement_4[which(is.na(aps_reduced$job_engagement_4))] = replacement_for_NAs 
aps_reduced$job_engagement_5[which(is.na(aps_reduced$job_engagement_5))] = replacement_for_NAs 
aps_reduced$job_engagement_6[which(is.na(aps_reduced$job_engagement_6))] = replacement_for_NAs 
aps_reduced$job_engagement_7[which(is.na(aps_reduced$job_engagement_7))] = replacement_for_NAs 
aps_reduced$job_engagement_8[which(is.na(aps_reduced$job_engagement_8))] = replacement_for_NAs 
aps_reduced$job_engagement_9[which(is.na(aps_reduced$job_engagement_9))] = replacement_for_NAs 
aps_reduced$job_engagement_10[which(is.na(aps_reduced$job_engagement_10))] = replacement_for_NAs 

aps_reduced$team_engagement_1[which(is.na(aps_reduced$team_engagement_1))] = replacement_for_NAs 
aps_reduced$team_engagement_2[which(is.na(aps_reduced$team_engagement_2))] = replacement_for_NAs  
aps_reduced$team_engagement_3[which(is.na(aps_reduced$team_engagement_3))] = replacement_for_NAs  
aps_reduced$team_engagement_4[which(is.na(aps_reduced$team_engagement_4))] = replacement_for_NAs  

aps_reduced$supervisor_engagement_1[which(is.na(aps_reduced$supervisor_engagement_1))] = replacement_for_NAs
aps_reduced$supervisor_engagement_2[which(is.na(aps_reduced$supervisor_engagement_2))] = replacement_for_NAs
aps_reduced$supervisor_engagement_3[which(is.na(aps_reduced$supervisor_engagement_3))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_4[which(is.na(aps_reduced$supervisor_engagement_4))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_5[which(is.na(aps_reduced$supervisor_engagement_5))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_6[which(is.na(aps_reduced$supervisor_engagement_6))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_7[which(is.na(aps_reduced$supervisor_engagement_7))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_8[which(is.na(aps_reduced$supervisor_engagement_8))] = replacement_for_NAs
aps_reduced$supervisor_engagement_9[which(is.na(aps_reduced$supervisor_engagement_9))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_10[which(is.na(aps_reduced$supervisor_engagement_10))] = replacement_for_NAs 
aps_reduced$supervisor_engagement_11[which(is.na(aps_reduced$supervisor_engagement_11))] = replacement_for_NAs

aps_reduced$senior_manager_engagement_1[which(is.na(aps_reduced$senior_manager_engagement_1))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_2[which(is.na(aps_reduced$senior_manager_engagement_2))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_3[which(is.na(aps_reduced$senior_manager_engagement_3))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_4[which(is.na(aps_reduced$senior_manager_engagement_4))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_5[which(is.na(aps_reduced$senior_manager_engagement_5))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_6[which(is.na(aps_reduced$senior_manager_engagement_6))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_7[which(is.na(aps_reduced$senior_manager_engagement_7))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_8[which(is.na(aps_reduced$senior_manager_engagement_8))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_9[which(is.na(aps_reduced$senior_manager_engagement_9))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_10[which(is.na(aps_reduced$senior_manager_engagement_10))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_11[which(is.na(aps_reduced$senior_manager_engagement_11))] = replacement_for_NAs
aps_reduced$senior_manager_engagement_12[which(is.na(aps_reduced$senior_manager_engagement_12))] = replacement_for_NAs

aps_reduced$agency_engagement_1[which(is.na(aps_reduced$agency_engagement_1))] = replacement_for_NAs
aps_reduced$agency_engagement_2[which(is.na(aps_reduced$agency_engagement_2))] = replacement_for_NAs
aps_reduced$agency_engagement_3[which(is.na(aps_reduced$agency_engagement_3))] = replacement_for_NAs
aps_reduced$agency_engagement_4[which(is.na(aps_reduced$agency_engagement_4))] = replacement_for_NAs
aps_reduced$agency_engagement_5[which(is.na(aps_reduced$agency_engagement_5))] = replacement_for_NAs
aps_reduced$agency_engagement_6[which(is.na(aps_reduced$agency_engagement_6))] = replacement_for_NAs
aps_reduced$agency_engagement_7[which(is.na(aps_reduced$agency_engagement_7))] = replacement_for_NAs
aps_reduced$agency_engagement_8[which(is.na(aps_reduced$agency_engagement_8))] = replacement_for_NAs
aps_reduced$agency_engagement_9[which(is.na(aps_reduced$agency_engagement_9))] = replacement_for_NAs
aps_reduced$agency_engagement_10[which(is.na(aps_reduced$agency_engagement_10))] = replacement_for_NAs
aps_reduced$agency_engagement_11[which(is.na(aps_reduced$agency_engagement_11))] = replacement_for_NAs
aps_reduced$agency_engagement_12[which(is.na(aps_reduced$agency_engagement_12))] = replacement_for_NAs
aps_reduced$agency_engagement_13[which(is.na(aps_reduced$agency_engagement_13))] = replacement_for_NAs
aps_reduced$agency_engagement_14[which(is.na(aps_reduced$agency_engagement_14))] = replacement_for_NAs
aps_reduced$agency_engagement_15[which(is.na(aps_reduced$agency_engagement_15))] = replacement_for_NAs
aps_reduced$agency_engagement_16[which(is.na(aps_reduced$agency_engagement_16))] = replacement_for_NAs
aps_reduced$agency_engagement_17[which(is.na(aps_reduced$agency_engagement_17))] = replacement_for_NAs

aps_reduced$team_performance_support_1[which(is.na(aps_reduced$team_performance_support_1))] = replacement_for_NAs
aps_reduced$team_performance_support_2[which(is.na(aps_reduced$team_performance_support_2))] = replacement_for_NAs
aps_reduced$team_performance_support_3[which(is.na(aps_reduced$team_performance_support_3))] = replacement_for_NAs
aps_reduced$team_performance_support_4[which(is.na(aps_reduced$team_performance_support_4))] = replacement_for_NAs

aps_reduced$risk_culture_1[which(is.na(aps_reduced$risk_culture_1))] = replacement_for_NAs
aps_reduced$risk_culture_2[which(is.na(aps_reduced$risk_culture_2))] = replacement_for_NAs
aps_reduced$risk_culture_3[which(is.na(aps_reduced$risk_culture_3))] = replacement_for_NAs
aps_reduced$risk_culture_4[which(is.na(aps_reduced$risk_culture_4))] = replacement_for_NAs
aps_reduced$risk_culture_5[which(is.na(aps_reduced$risk_culture_5))] = replacement_for_NAs

aps_reduced$innovation_1[which(is.na(aps_reduced$innovation_1))] = replacement_for_NAs
aps_reduced$innovation_2[which(is.na(aps_reduced$innovation_2))] = replacement_for_NAs
aps_reduced$innovation_3[which(is.na(aps_reduced$innovation_3))] = replacement_for_NAs
aps_reduced$innovation_4[which(is.na(aps_reduced$innovation_4))] = replacement_for_NAs
aps_reduced$innovation_5[which(is.na(aps_reduced$innovation_5))] = replacement_for_NAs

aps_reduced$leadership_engagement_1[which(is.na(aps_reduced$leadership_engagement_1))] = replacement_for_NAs
aps_reduced$leadership_engagement_2[which(is.na(aps_reduced$leadership_engagement_2))] = replacement_for_NAs
aps_reduced$leadership_engagement_3[which(is.na(aps_reduced$leadership_engagement_3))] = replacement_for_NAs
aps_reduced$leadership_engagement_4[which(is.na(aps_reduced$leadership_engagement_4))] = replacement_for_NAs
aps_reduced$leadership_engagement_5[which(is.na(aps_reduced$leadership_engagement_5))] = replacement_for_NAs
aps_reduced$leadership_engagement_6[which(is.na(aps_reduced$leadership_engagement_6))] = replacement_for_NAs
aps_reduced$leadership_engagement_7[which(is.na(aps_reduced$leadership_engagement_7))] = replacement_for_NAs

aps_reduced$wellbeing_1[which(is.na(aps_reduced$wellbeing_1))] = replacement_for_NAs
aps_reduced$wellbeing_2[which(is.na(aps_reduced$wellbeing_2))] = replacement_for_NAs
aps_reduced$wellbeing_3[which(is.na(aps_reduced$wellbeing_3))] = replacement_for_NAs
aps_reduced$wellbeing_4[which(is.na(aps_reduced$wellbeing_4))] = replacement_for_NAs
aps_reduced$wellbeing_5[which(is.na(aps_reduced$wellbeing_5))] = replacement_for_NAs
aps_reduced$wellbeing_6[which(is.na(aps_reduced$wellbeing_6))] = replacement_for_NAs
aps_reduced$wellbeing_7[which(is.na(aps_reduced$wellbeing_7))] = replacement_for_NAs
aps_reduced$wellbeing_8[which(is.na(aps_reduced$wellbeing_8))] = replacement_for_NAs
aps_reduced$wellbeing_9[which(is.na(aps_reduced$wellbeing_9))] = replacement_for_NAs
aps_reduced$wellbeing_10[which(is.na(aps_reduced$wellbeing_10))] = replacement_for_NAs
aps_reduced$wellbeing_11[which(is.na(aps_reduced$wellbeing_11))] = replacement_for_NAs
aps_reduced$wellbeing_12[which(is.na(aps_reduced$wellbeing_12))] = replacement_for_NAs
aps_reduced$wellbeing_13[which(is.na(aps_reduced$wellbeing_13))] = replacement_for_NAs

aps_reduced$values_1[which(is.na(aps_reduced$values_1))] = replacement_for_NAs
aps_reduced$values_2[which(is.na(aps_reduced$values_2))] = replacement_for_NAs
aps_reduced$values_3[which(is.na(aps_reduced$values_3))] = replacement_for_NAs

# double checking data has no missing values and no answers other than 1-5

sum(is.na(aps_reduced))         
## [1] 0
length(which(aps_reduced=="Do not know"))                  
## [1] 0
length(which(aps_reduced=="Don't know"))            
## [1] 0
length(which(aps_reduced=="Not sure")) 
## [1] 0
# developing 11 data frames grouping questions as per census

job_engagement_df <- data.frame(aps_reduced$job_engagement_1, aps_reduced$job_engagement_2, aps_reduced$job_engagement_3, aps_reduced$job_engagement_4, aps_reduced$job_engagement_5, aps_reduced$job_engagement_6, aps_reduced$job_engagement_7, aps_reduced$job_engagement_8, aps_reduced$job_engagement_9, aps_reduced$job_engagement_10)
team_engagement_df <- data.frame(aps_reduced$team_engagement_1, aps_reduced$team_engagement_2, aps_reduced$team_engagement_3, aps_reduced$team_engagement_4)
supervisor_engagement_df <- data.frame(aps_reduced$supervisor_engagement_1, aps_reduced$supervisor_engagement_2, aps_reduced$supervisor_engagement_3, aps_reduced$supervisor_engagement_4, aps_reduced$supervisor_engagement_5, aps_reduced$supervisor_engagement_6, aps_reduced$supervisor_engagement_7, aps_reduced$supervisor_engagement_8, aps_reduced$supervisor_engagement_9, aps_reduced$supervisor_engagement_10, aps_reduced$supervisor_engagement_11)
senior_manager_engagement_df <- data.frame(aps_reduced$senior_manager_engagement_1, aps_reduced$senior_manager_engagement_2, aps_reduced$senior_manager_engagement_3, aps_reduced$senior_manager_engagement_4, aps_reduced$senior_manager_engagement_5, aps_reduced$senior_manager_engagement_6, aps_reduced$senior_manager_engagement_7, aps_reduced$senior_manager_engagement_8, aps_reduced$senior_manager_engagement_9, aps_reduced$senior_manager_engagement_10, aps_reduced$senior_manager_engagement_11, aps_reduced$senior_manager_engagement_12)
agency_engagement_df <- data.frame(aps_reduced$agency_engagement_1, aps_reduced$agency_engagement_2, aps_reduced$agency_engagement_3, aps_reduced$agency_engagement_4, aps_reduced$agency_engagement_5, aps_reduced$agency_engagement_6, aps_reduced$agency_engagement_7, aps_reduced$agency_engagement_8, aps_reduced$agency_engagement_9, aps_reduced$agency_engagement_10, aps_reduced$agency_engagement_11, aps_reduced$agency_engagement_12, aps_reduced$agency_engagement_13, aps_reduced$agency_engagement_14, aps_reduced$agency_engagement_15, aps_reduced$agency_engagement_16, aps_reduced$agency_engagement_17)
team_performance_support_df <- data.frame(aps_reduced$team_performance_support_1, aps_reduced$team_performance_support_2, aps_reduced$team_performance_support_3, aps_reduced$team_performance_support_4)
risk_culture_df <- data.frame(aps_reduced$risk_culture_1, aps_reduced$risk_culture_2, aps_reduced$risk_culture_3, aps_reduced$risk_culture_4, aps_reduced$risk_culture_5)
innovation_df <- data.frame(aps_reduced$innovation_1, aps_reduced$innovation_2, aps_reduced$innovation_3, aps_reduced$innovation_4, aps_reduced$innovation_5)
leadership_engagement_df <- data.frame(aps_reduced$leadership_engagement_1, aps_reduced$leadership_engagement_2, aps_reduced$leadership_engagement_3, aps_reduced$leadership_engagement_4, aps_reduced$leadership_engagement_5, aps_reduced$leadership_engagement_6, aps_reduced$leadership_engagement_7)
wellbeing_df <- data.frame(aps_reduced$wellbeing_1, aps_reduced$wellbeing_2, aps_reduced$wellbeing_3, aps_reduced$wellbeing_4, aps_reduced$wellbeing_5, aps_reduced$wellbeing_6, aps_reduced$wellbeing_7, aps_reduced$wellbeing_8, aps_reduced$wellbeing_9, aps_reduced$wellbeing_10, aps_reduced$wellbeing_11, aps_reduced$wellbeing_12, aps_reduced$wellbeing_13)
values_df <- data.frame(aps_reduced$values_1, aps_reduced$values_2, aps_reduced$values_3)


# descriptive statistics for questions within each scale

# Descriptive statistics step 1: entering descriptive names for columns

names(job_engagement_df) <- c(
  job_engagement_1 = column_names_1$full.question[5],
  job_engagement_2 = column_names_1$full.question[6],
  job_engagement_3 = column_names_1$full.question[7],
  job_engagement_4 = column_names_1$full.question[8],
  job_engagement_5 = column_names_1$full.question[9],
  job_engagement_6 = column_names_1$full.question[10],
  job_engagement_7 = column_names_1$full.question[11],
  job_engagement_8 = column_names_1$full.question[12],
  job_engagement_9 = column_names_1$full.question[13],
  job_engagement_10 = column_names_1$full.question[14]
)

names(team_engagement_df) <- c(
  team_engagement_1 = column_names_1$full.question[16],
  team_engagement_2 = column_names_1$full.question[17],
  team_engagement_3 = column_names_1$full.question[18],
  team_engagement_4 = column_names_1$full.question[19]
)

names(supervisor_engagement_df) <- c(
  supervisor_engagement_1 = column_names_1$full.question[21],
  supervisor_engagement_2 = column_names_1$full.question[22],
  supervisor_engagement_3 = column_names_1$full.question[23],
  supervisor_engagement_4 = column_names_1$full.question[24],
  supervisor_engagement_5 = column_names_1$full.question[26],
  supervisor_engagement_6 = column_names_1$full.question[27],
  supervisor_engagement_7 = column_names_1$full.question[28],
  supervisor_engagement_8 = column_names_1$full.question[29],
  supervisor_engagement_9 = column_names_1$full.question[30],
  supervisor_engagement_10 = column_names_1$full.question[31],
  supervisor_engagement_11 = column_names_1$full.question[32]
)

names(senior_manager_engagement_df) <- c(
  senior_manager_engagement_1 = column_names_1$full.question[33],
  senior_manager_engagement_2 = column_names_1$full.question[34],
  senior_manager_engagement_3 = column_names_1$full.question[35],
  senior_manager_engagement_4 = column_names_1$full.question[36],
  senior_manager_engagement_5 = column_names_1$full.question[37],
  senior_manager_engagement_6 = column_names_1$full.question[38],
  senior_manager_engagement_7 = column_names_1$full.question[39],
  senior_manager_engagement_8 = column_names_1$full.question[41],
  senior_manager_engagement_9 = column_names_1$full.question[42],
  senior_manager_engagement_10 = column_names_1$full.question[43],  
  senior_manager_engagement_11 = column_names_1$full.question[44],
  senior_manager_engagement_12 = column_names_1$full.question[46]
)

names(agency_engagement_df) <- c(
  agency_engagement_1 = column_names_1$full.question[55],
  agency_engagement_2 = column_names_1$full.question[56],
  agency_engagement_3 = column_names_1$full.question[57],
  agency_engagement_4 = column_names_1$full.question[58],
  agency_engagement_5 = column_names_1$full.question[59],
  agency_engagement_6 = column_names_1$full.question[60],
  agency_engagement_7 = column_names_1$full.question[61],
  agency_engagement_8 = column_names_1$full.question[62],
  agency_engagement_9 = column_names_1$full.question[63],
  agency_engagement_10 = column_names_1$full.question[64],
  agency_engagement_11 = column_names_1$full.question[65],
  agency_engagement_12 = column_names_1$full.question[66],
  agency_engagement_13 = column_names_1$full.question[68],
  agency_engagement_14 = column_names_1$full.question[69],
  agency_engagement_15 = column_names_1$full.question[70],
  agency_engagement_16 = column_names_1$full.question[71],
  agency_engagement_17 = column_names_1$full.question[72]
)

names(team_performance_support_df) <- c(
  team_performance_support_1 = column_names_1$full.question[229],
  team_performance_support_1 = column_names_1$full.question[230],
  team_performance_support_1 = column_names_1$full.question[231],
  team_performance_support_1 = column_names_1$full.question[232]
)

names(risk_culture_df) <- c(
  risk_culture_1 = column_names_1$full.question[200],
  risk_culture_1 = column_names_1$full.question[201],
  risk_culture_1 = column_names_1$full.question[203],
  risk_culture_1 = column_names_1$full.question[204],
  risk_culture_1 = column_names_1$full.question[205]
)

names(innovation_df) <- c(
  innovation_1 = column_names_1$full.question[221],
  innovation_1 = column_names_1$full.question[222],
  innovation_1 = column_names_1$full.question[223],
  innovation_1 = column_names_1$full.question[224],
  innovation_1 = column_names_1$full.question[225]
)

names(leadership_engagement_df) <- c(
  leadership_engagement_1 = column_names_1$full.question[47],
  leadership_engagement_2 = column_names_1$full.question[48],
  leadership_engagement_3 = column_names_1$full.question[50],
  leadership_engagement_4 = column_names_1$full.question[51],
  leadership_engagement_5 = column_names_1$full.question[52],
  leadership_engagement_6 = column_names_1$full.question[53],
  leadership_engagement_7 = column_names_1$full.question[54]
)

names(wellbeing_df) <- c(
  wellbeing_1 = column_names_1$full.question[74],
  wellbeing_2 = column_names_1$full.question[87],
  wellbeing_3 = column_names_1$full.question[88],
  wellbeing_4 = column_names_1$full.question[89],
  wellbeing_5 = column_names_1$full.question[90],
  wellbeing_6 = column_names_1$full.question[91],
  wellbeing_7 = column_names_1$full.question[92],
  wellbeing_8 = column_names_1$full.question[93],
  wellbeing_9 = column_names_1$full.question[94],
  wellbeing_10 = column_names_1$full.question[95],
  wellbeing_11 = column_names_1$full.question[96],
  wellbeing_12 = column_names_1$full.question[97],
  wellbeing_13 = column_names_1$full.question[98]
)


names(values_df) <- c(
  values_1 = column_names_1$full.question[236],
  values_1 = column_names_1$full.question[237],
  values_1 = column_names_1$full.question[238]
)

names(aps_reduced$org_size) <- c(org_size = column_names_1$full.question[1])

names(aps_reduced$employee_level) <- c(org_size = column_names_1$full.question[4])

names(aps_reduced$team_performance_rating) <- c(org_size = column_names_1$full.question[226])


# Descriptive statistics step 2: descriptive statistics for questions within each scale (for 11 scales)

# Descriptive statistics step 2
#scale 1: job_engagement analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
job_engagement_likert <- likert(job_engagement_df)
summary(job_engagement_likert)
##                                                                                                                   Item
## 8                                                           I am happy to go the ‘extra mile’ at O1 work when required
## 7                                                                   I suggest ideas to improve our way of doing things
## 1                                                                   My job gives me opportunities to utilise my skills
## 10                                                      I believe strongly in the purpose O1 and objectives of the APS
## 5  I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)
## 2                                                                 My job gives me a feeling of personal accomplishment
## 6                                                     I am satisfied with the stability and security of my current job
## 9                                                                   Considering everything, I am satisfied with my job
## 4                                      I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do
## 3                                                   I am satisfied with the recognition I receive for doing a good job
##          low   neutral     high     mean        sd
## 8   2.561455  5.884424 91.55412 4.258011 0.7126078
## 7   2.786741 12.330889 84.88237 4.040903 0.6949163
## 1   8.945732  9.655617 81.39865 3.921244 0.8735624
## 10  4.003520 16.330889 79.66559 4.007322 0.8042136
## 5  10.495747 11.610443 77.89381 3.882957 0.9564676
## 2  12.628923 14.638897 72.73218 3.756503 0.9688846
## 6  15.704312 13.361103 70.93458 3.707820 1.0643842
## 9  13.065415 17.152244 69.78234 3.696756 0.9676607
## 4  22.406571 15.975359 61.61807 3.459572 1.1195283
## 3  19.599883 19.746553 60.65356 3.492801 1.0721082
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(job_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(job_engagement_likert, group.order = names(job_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(job_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(job_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(job_engagement_df)
##                                                                                                                      vars
## My job gives me opportunities to utilise my skills*                                                                     1
## My job gives me a feeling of personal accomplishment*                                                                   2
## I am satisfied with the recognition I receive for doing a good job*                                                     3
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                        4
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*    5
## I am satisfied with the stability and security of my current job*                                                       6
## I suggest ideas to improve our way of doing things*                                                                     7
## I am happy to go the ‘extra mile’ at O1 work when required*                                                             8
## Considering everything, I am satisfied with my job*                                                                     9
## I believe strongly in the purpose O1 and objectives of the APS*                                                        10
##                                                                                                                          n
## My job gives me opportunities to utilise my skills*                                                                  85225
## My job gives me a feeling of personal accomplishment*                                                                85225
## I am satisfied with the recognition I receive for doing a good job*                                                  85225
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                     85225
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)* 85225
## I am satisfied with the stability and security of my current job*                                                    85225
## I suggest ideas to improve our way of doing things*                                                                  85225
## I am happy to go the ‘extra mile’ at O1 work when required*                                                          85225
## Considering everything, I am satisfied with my job*                                                                  85225
## I believe strongly in the purpose O1 and objectives of the APS*                                                      85225
##                                                                                                                      mean
## My job gives me opportunities to utilise my skills*                                                                  3.92
## My job gives me a feeling of personal accomplishment*                                                                3.76
## I am satisfied with the recognition I receive for doing a good job*                                                  3.49
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                     3.46
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)* 3.88
## I am satisfied with the stability and security of my current job*                                                    3.71
## I suggest ideas to improve our way of doing things*                                                                  4.04
## I am happy to go the ‘extra mile’ at O1 work when required*                                                          4.26
## Considering everything, I am satisfied with my job*                                                                  3.70
## I believe strongly in the purpose O1 and objectives of the APS*                                                      4.01
##                                                                                                                        sd
## My job gives me opportunities to utilise my skills*                                                                  0.87
## My job gives me a feeling of personal accomplishment*                                                                0.97
## I am satisfied with the recognition I receive for doing a good job*                                                  1.07
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                     1.12
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)* 0.96
## I am satisfied with the stability and security of my current job*                                                    1.06
## I suggest ideas to improve our way of doing things*                                                                  0.69
## I am happy to go the ‘extra mile’ at O1 work when required*                                                          0.71
## Considering everything, I am satisfied with my job*                                                                  0.97
## I believe strongly in the purpose O1 and objectives of the APS*                                                      0.80
##                                                                                                                      median
## My job gives me opportunities to utilise my skills*                                                                       4
## My job gives me a feeling of personal accomplishment*                                                                     4
## I am satisfied with the recognition I receive for doing a good job*                                                       4
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                          4
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*      4
## I am satisfied with the stability and security of my current job*                                                         4
## I suggest ideas to improve our way of doing things*                                                                       4
## I am happy to go the ‘extra mile’ at O1 work when required*                                                               4
## Considering everything, I am satisfied with my job*                                                                       4
## I believe strongly in the purpose O1 and objectives of the APS*                                                           4
##                                                                                                                      trimmed
## My job gives me opportunities to utilise my skills*                                                                     4.04
## My job gives me a feeling of personal accomplishment*                                                                   3.86
## I am satisfied with the recognition I receive for doing a good job*                                                     3.56
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                        3.54
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*    4.02
## I am satisfied with the stability and security of my current job*                                                       3.82
## I suggest ideas to improve our way of doing things*                                                                     4.09
## I am happy to go the ‘extra mile’ at O1 work when required*                                                             4.34
## Considering everything, I am satisfied with my job*                                                                     3.79
## I believe strongly in the purpose O1 and objectives of the APS*                                                         4.07
##                                                                                                                       mad
## My job gives me opportunities to utilise my skills*                                                                  0.00
## My job gives me a feeling of personal accomplishment*                                                                0.00
## I am satisfied with the recognition I receive for doing a good job*                                                  1.48
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                     1.48
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)* 0.00
## I am satisfied with the stability and security of my current job*                                                    0.00
## I suggest ideas to improve our way of doing things*                                                                  0.00
## I am happy to go the ‘extra mile’ at O1 work when required*                                                          0.00
## Considering everything, I am satisfied with my job*                                                                  0.00
## I believe strongly in the purpose O1 and objectives of the APS*                                                      0.00
##                                                                                                                      min
## My job gives me opportunities to utilise my skills*                                                                    1
## My job gives me a feeling of personal accomplishment*                                                                  1
## I am satisfied with the recognition I receive for doing a good job*                                                    1
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                       1
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*   1
## I am satisfied with the stability and security of my current job*                                                      1
## I suggest ideas to improve our way of doing things*                                                                    1
## I am happy to go the ‘extra mile’ at O1 work when required*                                                            1
## Considering everything, I am satisfied with my job*                                                                    1
## I believe strongly in the purpose O1 and objectives of the APS*                                                        1
##                                                                                                                      max
## My job gives me opportunities to utilise my skills*                                                                    5
## My job gives me a feeling of personal accomplishment*                                                                  5
## I am satisfied with the recognition I receive for doing a good job*                                                    5
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                       5
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*   5
## I am satisfied with the stability and security of my current job*                                                      5
## I suggest ideas to improve our way of doing things*                                                                    5
## I am happy to go the ‘extra mile’ at O1 work when required*                                                            5
## Considering everything, I am satisfied with my job*                                                                    5
## I believe strongly in the purpose O1 and objectives of the APS*                                                        5
##                                                                                                                      range
## My job gives me opportunities to utilise my skills*                                                                      4
## My job gives me a feeling of personal accomplishment*                                                                    4
## I am satisfied with the recognition I receive for doing a good job*                                                      4
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                         4
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*     4
## I am satisfied with the stability and security of my current job*                                                        4
## I suggest ideas to improve our way of doing things*                                                                      4
## I am happy to go the ‘extra mile’ at O1 work when required*                                                              4
## Considering everything, I am satisfied with my job*                                                                      4
## I believe strongly in the purpose O1 and objectives of the APS*                                                          4
##                                                                                                                       skew
## My job gives me opportunities to utilise my skills*                                                                  -1.18
## My job gives me a feeling of personal accomplishment*                                                                -0.96
## I am satisfied with the recognition I receive for doing a good job*                                                  -0.68
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                     -0.68
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)* -1.11
## I am satisfied with the stability and security of my current job*                                                    -0.93
## I suggest ideas to improve our way of doing things*                                                                  -0.82
## I am happy to go the ‘extra mile’ at O1 work when required*                                                          -1.22
## Considering everything, I am satisfied with my job*                                                                  -0.91
## I believe strongly in the purpose O1 and objectives of the APS*                                                      -0.89
##                                                                                                                      kurtosis
## My job gives me opportunities to utilise my skills*                                                                      1.72
## My job gives me a feeling of personal accomplishment*                                                                    0.67
## I am satisfied with the recognition I receive for doing a good job*                                                     -0.23
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                        -0.39
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*     1.17
## I am satisfied with the stability and security of my current job*                                                        0.29
## I suggest ideas to improve our way of doing things*                                                                      1.96
## I am happy to go the ‘extra mile’ at O1 work when required*                                                              3.12
## Considering everything, I am satisfied with my job*                                                                      0.56
## I believe strongly in the purpose O1 and objectives of the APS*                                                          1.46
##                                                                                                                      se
## My job gives me opportunities to utilise my skills*                                                                   0
## My job gives me a feeling of personal accomplishment*                                                                 0
## I am satisfied with the recognition I receive for doing a good job*                                                   0
## I am fairly remunerated (e.g. salary, O1 superannuation) for the work that I do*                                      0
## I am satisfied with my non- monetary employment conditions (e.g. leave, flexible work arrangements, other benefits)*  0
## I am satisfied with the stability and security of my current job*                                                     0
## I suggest ideas to improve our way of doing things*                                                                   0
## I am happy to go the ‘extra mile’ at O1 work when required*                                                           0
## Considering everything, I am satisfied with my job*                                                                   0
## I believe strongly in the purpose O1 and objectives of the APS*                                                       0
# Descriptive statistics step 2
#scale 2: team_engagement analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
team_engagement_likert <- likert(team_engagement_df)
summary(team_engagement_likert)
##                                                                                               Item
## 4 The people in my workgroup behave in an accepting manner towards people from diverse backgrounds
## 3                                     The people in my workgroup are committed to workplace safety
## 2                                         The people in my workgroup cooperate to get the job done
## 1                    The people in my workgroup are honest, open and transparent in their dealings
##        low   neutral     high     mean        sd
## 4 3.470813  7.585802 88.94339 4.201162 0.7645863
## 3 2.291581 10.806688 86.90173 4.121830 0.7093272
## 2 6.299795  9.898504 83.80170 4.059407 0.8473169
## 1 8.800235 12.463479 78.73629 3.947609 0.9250462
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(team_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(team_engagement_likert, group.order = names(team_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(team_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(team_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(team_engagement_df)
##                                                                                                   vars
## The people in my workgroup are honest, open and transparent in their dealings*                       1
## The people in my workgroup cooperate to get the job done*                                            2
## The people in my workgroup are committed to workplace safety*                                        3
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*    4
##                                                                                                       n
## The people in my workgroup are honest, open and transparent in their dealings*                    85225
## The people in my workgroup cooperate to get the job done*                                         85225
## The people in my workgroup are committed to workplace safety*                                     85225
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds* 85225
##                                                                                                   mean
## The people in my workgroup are honest, open and transparent in their dealings*                    3.95
## The people in my workgroup cooperate to get the job done*                                         4.06
## The people in my workgroup are committed to workplace safety*                                     4.12
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds* 4.20
##                                                                                                     sd
## The people in my workgroup are honest, open and transparent in their dealings*                    0.93
## The people in my workgroup cooperate to get the job done*                                         0.85
## The people in my workgroup are committed to workplace safety*                                     0.71
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds* 0.76
##                                                                                                   median
## The people in my workgroup are honest, open and transparent in their dealings*                         4
## The people in my workgroup cooperate to get the job done*                                              4
## The people in my workgroup are committed to workplace safety*                                          4
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*      4
##                                                                                                   trimmed
## The people in my workgroup are honest, open and transparent in their dealings*                       4.07
## The people in my workgroup cooperate to get the job done*                                            4.17
## The people in my workgroup are committed to workplace safety*                                        4.19
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*    4.31
##                                                                                                   mad
## The people in my workgroup are honest, open and transparent in their dealings*                      0
## The people in my workgroup cooperate to get the job done*                                           0
## The people in my workgroup are committed to workplace safety*                                       0
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*   0
##                                                                                                   min
## The people in my workgroup are honest, open and transparent in their dealings*                      1
## The people in my workgroup cooperate to get the job done*                                           1
## The people in my workgroup are committed to workplace safety*                                       1
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*   1
##                                                                                                   max
## The people in my workgroup are honest, open and transparent in their dealings*                      5
## The people in my workgroup cooperate to get the job done*                                           5
## The people in my workgroup are committed to workplace safety*                                       5
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*   5
##                                                                                                   range
## The people in my workgroup are honest, open and transparent in their dealings*                        4
## The people in my workgroup cooperate to get the job done*                                             4
## The people in my workgroup are committed to workplace safety*                                         4
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*     4
##                                                                                                    skew
## The people in my workgroup are honest, open and transparent in their dealings*                    -1.07
## The people in my workgroup cooperate to get the job done*                                         -1.16
## The people in my workgroup are committed to workplace safety*                                     -0.92
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds* -1.25
##                                                                                                   kurtosis
## The people in my workgroup are honest, open and transparent in their dealings*                        1.18
## The people in my workgroup cooperate to get the job done*                                             1.83
## The people in my workgroup are committed to workplace safety*                                         2.27
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*     2.82
##                                                                                                   se
## The people in my workgroup are honest, open and transparent in their dealings*                     0
## The people in my workgroup cooperate to get the job done*                                          0
## The people in my workgroup are committed to workplace safety*                                      0
## The people in my workgroup behave in an accepting manner towards people from diverse backgrounds*  0
# Descriptive statistics step 2
#scale 3: supervisor_engagement analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
supervisor_engagement_likert <- likert(supervisor_engagement_df)
summary(supervisor_engagement_likert)
##                                                                                                        Item
## 2                                                                  My supervisor treats people with respect
## 3                                                                    My supervisor communicates effectively
## 1                                           My supervisor actively supports people from diverse backgrounds
## 9                          My supervisor gives me responsibility and holds me to account for what I deliver
## 4                                                           My supervisor encourages me to contribute ideas
## 11 My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender
## 8                                                                        I have a good immediate supervisor
## 7                                                          My supervisor maintains composure under pressure
## 6                                My supervisor displays resilience when faced with difficulties or failures
## 5                            My supervisor invites a range of views, including those different to their own
## 10                                         My supervisor challenges me to consider new ways of doing things
##         low   neutral     high     mean        sd
## 2  4.645351  7.076562 88.27809 4.237853 0.8268604
## 3  4.645351  7.076562 88.27809 4.237853 0.8268604
## 1  2.345556 11.366383 86.28806 4.216275 0.7644047
## 9  4.418891  9.887944 85.69317 4.156398 0.8229265
## 4  6.361983 10.075682 83.56233 4.133951 0.9005433
## 11 6.139044 11.294808 82.56615 4.137108 0.9236996
## 8  7.082429 11.125843 81.79173 4.126231 0.9586397
## 7  7.315928 12.801408 79.88266 4.051816 0.9378584
## 6  6.905251 13.341156 79.75359 4.056099 0.9310627
## 5  8.160751 13.174538 78.66471 4.006442 0.9527923
## 10 8.504547 17.760047 73.73541 3.927521 0.9570183
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(supervisor_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(supervisor_engagement_likert, group.order = names(supervisor_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(supervisor_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(supervisor_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(supervisor_engagement_df)
##                                                                                                           vars
## My supervisor actively supports people from diverse backgrounds*                                             1
## My supervisor treats people with respect*                                                                    2
## My supervisor communicates effectively*                                                                      3
## My supervisor encourages me to contribute ideas*                                                             4
## My supervisor invites a range of views, including those different to their own*                              5
## My supervisor displays resilience when faced with difficulties or failures*                                  6
## My supervisor maintains composure under pressure*                                                            7
## I have a good immediate supervisor*                                                                          8
## My supervisor gives me responsibility and holds me to account for what I deliver*                            9
## My supervisor challenges me to consider new ways of doing things*                                           10
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*   11
##                                                                                                               n
## My supervisor actively supports people from diverse backgrounds*                                          85225
## My supervisor treats people with respect*                                                                 85225
## My supervisor communicates effectively*                                                                   85225
## My supervisor encourages me to contribute ideas*                                                          85225
## My supervisor invites a range of views, including those different to their own*                           85225
## My supervisor displays resilience when faced with difficulties or failures*                               85225
## My supervisor maintains composure under pressure*                                                         85225
## I have a good immediate supervisor*                                                                       85225
## My supervisor gives me responsibility and holds me to account for what I deliver*                         85225
## My supervisor challenges me to consider new ways of doing things*                                         85225
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender* 85225
##                                                                                                           mean
## My supervisor actively supports people from diverse backgrounds*                                          4.22
## My supervisor treats people with respect*                                                                 4.24
## My supervisor communicates effectively*                                                                   4.24
## My supervisor encourages me to contribute ideas*                                                          4.13
## My supervisor invites a range of views, including those different to their own*                           4.01
## My supervisor displays resilience when faced with difficulties or failures*                               4.06
## My supervisor maintains composure under pressure*                                                         4.05
## I have a good immediate supervisor*                                                                       4.13
## My supervisor gives me responsibility and holds me to account for what I deliver*                         4.16
## My supervisor challenges me to consider new ways of doing things*                                         3.93
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender* 4.14
##                                                                                                             sd
## My supervisor actively supports people from diverse backgrounds*                                          0.76
## My supervisor treats people with respect*                                                                 0.83
## My supervisor communicates effectively*                                                                   0.83
## My supervisor encourages me to contribute ideas*                                                          0.90
## My supervisor invites a range of views, including those different to their own*                           0.95
## My supervisor displays resilience when faced with difficulties or failures*                               0.93
## My supervisor maintains composure under pressure*                                                         0.94
## I have a good immediate supervisor*                                                                       0.96
## My supervisor gives me responsibility and holds me to account for what I deliver*                         0.82
## My supervisor challenges me to consider new ways of doing things*                                         0.96
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender* 0.92
##                                                                                                           median
## My supervisor actively supports people from diverse backgrounds*                                               4
## My supervisor treats people with respect*                                                                      4
## My supervisor communicates effectively*                                                                        4
## My supervisor encourages me to contribute ideas*                                                               4
## My supervisor invites a range of views, including those different to their own*                                4
## My supervisor displays resilience when faced with difficulties or failures*                                    4
## My supervisor maintains composure under pressure*                                                              4
## I have a good immediate supervisor*                                                                            4
## My supervisor gives me responsibility and holds me to account for what I deliver*                              4
## My supervisor challenges me to consider new ways of doing things*                                              4
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*      4
##                                                                                                           trimmed
## My supervisor actively supports people from diverse backgrounds*                                             4.31
## My supervisor treats people with respect*                                                                    4.37
## My supervisor communicates effectively*                                                                      4.37
## My supervisor encourages me to contribute ideas*                                                             4.27
## My supervisor invites a range of views, including those different to their own*                              4.14
## My supervisor displays resilience when faced with difficulties or failures*                                  4.18
## My supervisor maintains composure under pressure*                                                            4.18
## I have a good immediate supervisor*                                                                          4.28
## My supervisor gives me responsibility and holds me to account for what I deliver*                            4.27
## My supervisor challenges me to consider new ways of doing things*                                            4.04
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*    4.28
##                                                                                                            mad
## My supervisor actively supports people from diverse backgrounds*                                          1.48
## My supervisor treats people with respect*                                                                 1.48
## My supervisor communicates effectively*                                                                   1.48
## My supervisor encourages me to contribute ideas*                                                          1.48
## My supervisor invites a range of views, including those different to their own*                           1.48
## My supervisor displays resilience when faced with difficulties or failures*                               1.48
## My supervisor maintains composure under pressure*                                                         1.48
## I have a good immediate supervisor*                                                                       1.48
## My supervisor gives me responsibility and holds me to account for what I deliver*                         1.48
## My supervisor challenges me to consider new ways of doing things*                                         1.48
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender* 1.48
##                                                                                                           min
## My supervisor actively supports people from diverse backgrounds*                                            1
## My supervisor treats people with respect*                                                                   1
## My supervisor communicates effectively*                                                                     1
## My supervisor encourages me to contribute ideas*                                                            1
## My supervisor invites a range of views, including those different to their own*                             1
## My supervisor displays resilience when faced with difficulties or failures*                                 1
## My supervisor maintains composure under pressure*                                                           1
## I have a good immediate supervisor*                                                                         1
## My supervisor gives me responsibility and holds me to account for what I deliver*                           1
## My supervisor challenges me to consider new ways of doing things*                                           1
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*   1
##                                                                                                           max
## My supervisor actively supports people from diverse backgrounds*                                            5
## My supervisor treats people with respect*                                                                   5
## My supervisor communicates effectively*                                                                     5
## My supervisor encourages me to contribute ideas*                                                            5
## My supervisor invites a range of views, including those different to their own*                             5
## My supervisor displays resilience when faced with difficulties or failures*                                 5
## My supervisor maintains composure under pressure*                                                           5
## I have a good immediate supervisor*                                                                         5
## My supervisor gives me responsibility and holds me to account for what I deliver*                           5
## My supervisor challenges me to consider new ways of doing things*                                           5
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*   5
##                                                                                                           range
## My supervisor actively supports people from diverse backgrounds*                                              4
## My supervisor treats people with respect*                                                                     4
## My supervisor communicates effectively*                                                                       4
## My supervisor encourages me to contribute ideas*                                                              4
## My supervisor invites a range of views, including those different to their own*                               4
## My supervisor displays resilience when faced with difficulties or failures*                                   4
## My supervisor maintains composure under pressure*                                                             4
## I have a good immediate supervisor*                                                                           4
## My supervisor gives me responsibility and holds me to account for what I deliver*                             4
## My supervisor challenges me to consider new ways of doing things*                                             4
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*     4
##                                                                                                            skew
## My supervisor actively supports people from diverse backgrounds*                                          -1.02
## My supervisor treats people with respect*                                                                 -1.40
## My supervisor communicates effectively*                                                                   -1.40
## My supervisor encourages me to contribute ideas*                                                          -1.25
## My supervisor invites a range of views, including those different to their own*                           -1.09
## My supervisor displays resilience when faced with difficulties or failures*                               -1.12
## My supervisor maintains composure under pressure*                                                         -1.13
## I have a good immediate supervisor*                                                                       -1.29
## My supervisor gives me responsibility and holds me to account for what I deliver*                         -1.22
## My supervisor challenges me to consider new ways of doing things*                                         -0.88
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender* -1.28
##                                                                                                           kurtosis
## My supervisor actively supports people from diverse backgrounds*                                              1.71
## My supervisor treats people with respect*                                                                     2.64
## My supervisor communicates effectively*                                                                       2.64
## My supervisor encourages me to contribute ideas*                                                              1.73
## My supervisor invites a range of views, including those different to their own*                               1.12
## My supervisor displays resilience when faced with difficulties or failures*                                   1.28
## My supervisor maintains composure under pressure*                                                             1.26
## I have a good immediate supervisor*                                                                           1.59
## My supervisor gives me responsibility and holds me to account for what I deliver*                             2.19
## My supervisor challenges me to consider new ways of doing things*                                             0.54
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*     1.77
##                                                                                                           se
## My supervisor actively supports people from diverse backgrounds*                                           0
## My supervisor treats people with respect*                                                                  0
## My supervisor communicates effectively*                                                                    0
## My supervisor encourages me to contribute ideas*                                                           0
## My supervisor invites a range of views, including those different to their own*                            0
## My supervisor displays resilience when faced with difficulties or failures*                                0
## My supervisor maintains composure under pressure*                                                          0
## I have a good immediate supervisor*                                                                        0
## My supervisor gives me responsibility and holds me to account for what I deliver*                          0
## My supervisor challenges me to consider new ways of doing things*                                          0
## My supervisor actively supports the use of flexible work arrangements by all staff, regardless of gender*  0
# Descriptive statistics step 2
#scale 4: senior_manager_engagement analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
senior_manager_engagement_likert <- likert(senior_manager_engagement_df)
summary(senior_manager_engagement_likert)
##                                                                                                         Item
## 1                                                                        My SES manager is of a high quality
## 9                                             My SES manager actively supports people of diverse backgrounds
## 6   My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS
## 2                                        My SES manager is sufficiently visible (e.g. can be seen in action)
## 3                                                                    My SES manager communicates effectively
## 10                       My SES manager actively supports opportunities for women to access leadership roles
## 12                              My SES manager clearly articulates the direction and priorities for our area
## 11 My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender
## 8                                                        My SES manager encourages innovation and creativity
## 4                                   My SES manager engages with staff on how to respond to future challenges
## 7                                                        My SES manager effectively leads and manages change
## 5                                    My SES manager gives their time to identify and develop talented people
##          low  neutral     high     mean        sd
## 1   8.894104 24.09152 67.01437 3.797888 0.9795119
## 9   4.001173 29.21209 66.78674 3.856368 0.8771910
## 6   8.231153 25.12291 66.64594 3.777155 0.9575724
## 2  15.598709 19.48489 64.91640 3.681514 1.0954747
## 3  13.436198 21.70373 64.86008 3.692719 1.0460336
## 10  4.673511 31.93312 63.39337 3.831869 0.9174600
## 12 12.938692 24.20065 62.86066 3.668079 1.0507549
## 11  7.633910 30.66354 61.70255 3.737354 0.9656698
## 8  10.826635 27.80053 61.37284 3.679108 1.0022167
## 4  14.404224 24.64770 60.94808 3.626764 1.0569130
## 7  13.722499 27.23262 59.04488 3.606888 1.0638390
## 5  17.787034 35.85802 46.35494 3.388560 1.0792097
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(senior_manager_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(senior_manager_engagement_likert, group.order = names(senior_manager_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(senior_manager_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(senior_manager_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(senior_manager_engagement_df)
##                                                                                                            vars
## My SES manager is of a high quality*                                                                          1
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                          2
## My SES manager communicates effectively*                                                                      3
## My SES manager engages with staff on how to respond to future challenges*                                     4
## My SES manager gives their time to identify and develop talented people*                                      5
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*     6
## My SES manager effectively leads and manages change*                                                          7
## My SES manager encourages innovation and creativity*                                                          8
## My SES manager actively supports people of diverse backgrounds*                                               9
## My SES manager actively supports opportunities for women to access leadership roles*                         10
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*   11
## My SES manager clearly articulates the direction and priorities for our area*                                12
##                                                                                                                n
## My SES manager is of a high quality*                                                                       85225
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                       85225
## My SES manager communicates effectively*                                                                   85225
## My SES manager engages with staff on how to respond to future challenges*                                  85225
## My SES manager gives their time to identify and develop talented people*                                   85225
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*  85225
## My SES manager effectively leads and manages change*                                                       85225
## My SES manager encourages innovation and creativity*                                                       85225
## My SES manager actively supports people of diverse backgrounds*                                            85225
## My SES manager actively supports opportunities for women to access leadership roles*                       85225
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender* 85225
## My SES manager clearly articulates the direction and priorities for our area*                              85225
##                                                                                                            mean
## My SES manager is of a high quality*                                                                       3.80
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                       3.68
## My SES manager communicates effectively*                                                                   3.69
## My SES manager engages with staff on how to respond to future challenges*                                  3.63
## My SES manager gives their time to identify and develop talented people*                                   3.39
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*  3.78
## My SES manager effectively leads and manages change*                                                       3.61
## My SES manager encourages innovation and creativity*                                                       3.68
## My SES manager actively supports people of diverse backgrounds*                                            3.86
## My SES manager actively supports opportunities for women to access leadership roles*                       3.83
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender* 3.74
## My SES manager clearly articulates the direction and priorities for our area*                              3.67
##                                                                                                              sd
## My SES manager is of a high quality*                                                                       0.98
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                       1.10
## My SES manager communicates effectively*                                                                   1.05
## My SES manager engages with staff on how to respond to future challenges*                                  1.06
## My SES manager gives their time to identify and develop talented people*                                   1.08
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*  0.96
## My SES manager effectively leads and manages change*                                                       1.06
## My SES manager encourages innovation and creativity*                                                       1.00
## My SES manager actively supports people of diverse backgrounds*                                            0.88
## My SES manager actively supports opportunities for women to access leadership roles*                       0.92
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender* 0.97
## My SES manager clearly articulates the direction and priorities for our area*                              1.05
##                                                                                                            median
## My SES manager is of a high quality*                                                                            4
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                            4
## My SES manager communicates effectively*                                                                        4
## My SES manager engages with staff on how to respond to future challenges*                                       4
## My SES manager gives their time to identify and develop talented people*                                        3
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*       4
## My SES manager effectively leads and manages change*                                                            4
## My SES manager encourages innovation and creativity*                                                            4
## My SES manager actively supports people of diverse backgrounds*                                                 4
## My SES manager actively supports opportunities for women to access leadership roles*                            4
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*      4
## My SES manager clearly articulates the direction and priorities for our area*                                   4
##                                                                                                            trimmed
## My SES manager is of a high quality*                                                                          3.90
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                          3.79
## My SES manager communicates effectively*                                                                      3.79
## My SES manager engages with staff on how to respond to future challenges*                                     3.72
## My SES manager gives their time to identify and develop talented people*                                      3.44
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*     3.86
## My SES manager effectively leads and manages change*                                                          3.70
## My SES manager encourages innovation and creativity*                                                          3.77
## My SES manager actively supports people of diverse backgrounds*                                               3.89
## My SES manager actively supports opportunities for women to access leadership roles*                          3.87
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*    3.81
## My SES manager clearly articulates the direction and priorities for our area*                                 3.77
##                                                                                                             mad
## My SES manager is of a high quality*                                                                       1.48
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                       1.48
## My SES manager communicates effectively*                                                                   1.48
## My SES manager engages with staff on how to respond to future challenges*                                  1.48
## My SES manager gives their time to identify and develop talented people*                                   1.48
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*  1.48
## My SES manager effectively leads and manages change*                                                       1.48
## My SES manager encourages innovation and creativity*                                                       1.48
## My SES manager actively supports people of diverse backgrounds*                                            1.48
## My SES manager actively supports opportunities for women to access leadership roles*                       1.48
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender* 1.48
## My SES manager clearly articulates the direction and priorities for our area*                              1.48
##                                                                                                            min
## My SES manager is of a high quality*                                                                         1
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                         1
## My SES manager communicates effectively*                                                                     1
## My SES manager engages with staff on how to respond to future challenges*                                    1
## My SES manager gives their time to identify and develop talented people*                                     1
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*    1
## My SES manager effectively leads and manages change*                                                         1
## My SES manager encourages innovation and creativity*                                                         1
## My SES manager actively supports people of diverse backgrounds*                                              1
## My SES manager actively supports opportunities for women to access leadership roles*                         1
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*   1
## My SES manager clearly articulates the direction and priorities for our area*                                1
##                                                                                                            max
## My SES manager is of a high quality*                                                                         5
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                         5
## My SES manager communicates effectively*                                                                     5
## My SES manager engages with staff on how to respond to future challenges*                                    5
## My SES manager gives their time to identify and develop talented people*                                     5
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*    5
## My SES manager effectively leads and manages change*                                                         5
## My SES manager encourages innovation and creativity*                                                         5
## My SES manager actively supports people of diverse backgrounds*                                              5
## My SES manager actively supports opportunities for women to access leadership roles*                         5
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*   5
## My SES manager clearly articulates the direction and priorities for our area*                                5
##                                                                                                            range
## My SES manager is of a high quality*                                                                           4
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                           4
## My SES manager communicates effectively*                                                                       4
## My SES manager engages with staff on how to respond to future challenges*                                      4
## My SES manager gives their time to identify and develop talented people*                                       4
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*      4
## My SES manager effectively leads and manages change*                                                           4
## My SES manager encourages innovation and creativity*                                                           4
## My SES manager actively supports people of diverse backgrounds*                                                4
## My SES manager actively supports opportunities for women to access leadership roles*                           4
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*     4
## My SES manager clearly articulates the direction and priorities for our area*                                  4
##                                                                                                             skew
## My SES manager is of a high quality*                                                                       -0.75
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                       -0.73
## My SES manager communicates effectively*                                                                   -0.74
## My SES manager engages with staff on how to respond to future challenges*                                  -0.64
## My SES manager gives their time to identify and develop talented people*                                   -0.33
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*  -0.77
## My SES manager effectively leads and manages change*                                                       -0.63
## My SES manager encourages innovation and creativity*                                                       -0.63
## My SES manager actively supports people of diverse backgrounds*                                            -0.56
## My SES manager actively supports opportunities for women to access leadership roles*                       -0.49
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender* -0.61
## My SES manager clearly articulates the direction and priorities for our area*                              -0.72
##                                                                                                            kurtosis
## My SES manager is of a high quality*                                                                           0.40
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                          -0.11
## My SES manager communicates effectively*                                                                       0.08
## My SES manager engages with staff on how to respond to future challenges*                                     -0.09
## My SES manager gives their time to identify and develop talented people*                                      -0.37
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*      0.58
## My SES manager effectively leads and manages change*                                                          -0.04
## My SES manager encourages innovation and creativity*                                                           0.15
## My SES manager actively supports people of diverse backgrounds*                                                0.47
## My SES manager actively supports opportunities for women to access leadership roles*                           0.14
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*     0.31
## My SES manager clearly articulates the direction and priorities for our area*                                  0.10
##                                                                                                            se
## My SES manager is of a high quality*                                                                        0
## My SES manager is sufficiently visible (e.g. can be seen in action)*                                        0
## My SES manager communicates effectively*                                                                    0
## My SES manager engages with staff on how to respond to future challenges*                                   0
## My SES manager gives their time to identify and develop talented people*                                    0
## My SES manager ensures that work effort contributes to the strategic direction of the agency and the APS*   0
## My SES manager effectively leads and manages change*                                                        0
## My SES manager encourages innovation and creativity*                                                        0
## My SES manager actively supports people of diverse backgrounds*                                             0
## My SES manager actively supports opportunities for women to access leadership roles*                        0
## My SES manager actively supports the use of flexible work arrangements by all staff, regardless of gender*  0
## My SES manager clearly articulates the direction and priorities for our area*                               0
# Descriptive statistics step 2
#scale 5: agency_engagement analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
agency_engagement_likert <- likert(agency_engagement_df)
summary(agency_engagement_likert)
##                                                                                                Item
## 8                           My agency actively encourages ethical behaviour by all of its employees
## 13                I work beyond what is required in my job to help my agency achieve its objectives
## 9                                           My agency is committed to creating a diverse workforce 
## 10                                    I believe strongly in the purpose and objectives of my agency
## 16                                                            I feel committed to my agency’s goals
## 12                          My agency supports and actively promotes an inclusive workplace culture
## 2                                                                     I am proud to work in my agen
## 11                                               Internal communication within my agency is regular
## 1                                                  I feel a strong personal attachment to my agency
## 5                               My workplace provides access to effective learning and development 
## 7                                               I would recommend my agency as a good place to work
## 14 When someone praises the accomplishments of my agency, it feels like a personal compliment to me
## 17                                        My agency really inspires me to do my best work every day
## 4                                              Internal communication within my agency is effective
## 15                   In general, employees in my agency feel they are valued for their contribution
## 6                         I am satisfied with the opportunities for career progression in my agency
## 3                                                               Change is managed well in my agency
##          low  neutral     high     mean        sd
## 8   7.298328 12.70871 79.99296 3.953488 0.8920918
## 13  4.015254 16.61484 79.36990 3.983913 0.7769754
## 9   4.536228 17.61572 77.84805 3.967334 0.8301289
## 10  4.875330 17.32238 77.80229 3.973928 0.8418698
## 16  5.020827 17.86213 77.11704 3.886113 0.7881584
## 12  7.102376 17.19097 75.70666 3.840692 0.8416748
## 2   8.552655 18.41948 73.02787 3.857178 0.9299706
## 11 10.134350 16.97976 72.88589 3.734385 0.8631638
## 1  12.855383 21.89968 65.24494 3.683626 0.9879507
## 5  17.938398 18.25638 63.80522 3.538680 1.0516040
## 7  15.060135 22.95101 61.98885 3.571217 1.0319113
## 14 16.795541 31.90378 51.30067 3.425673 0.9625937
## 17 17.074802 32.16427 50.76093 3.397794 0.9911013
## 4  27.210326 26.28454 46.50513 3.187715 1.0636315
## 15 26.498093 29.30361 44.19830 3.164905 1.0514125
## 6  35.327662 23.80874 40.86360 3.000505 1.1849174
## 3  33.674391 28.16075 38.16486 3.008307 1.0999951
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(agency_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(agency_engagement_likert, group.order = names(agency_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(agency_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(agency_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(agency_engagement_df)
##                                                                                                   vars
## I feel a strong personal attachment to my agency*                                                    1
## I am proud to work in my agen*                                                                       2
## Change is managed well in my agency*                                                                 3
## Internal communication within my agency is effective*                                                4
## My workplace provides access to effective learning and development *                                 5
## I am satisfied with the opportunities for career progression in my agency*                           6
## I would recommend my agency as a good place to work*                                                 7
## My agency actively encourages ethical behaviour by all of its employees*                             8
## My agency is committed to creating a diverse workforce *                                             9
## I believe strongly in the purpose and objectives of my agency*                                      10
## Internal communication within my agency is regular*                                                 11
## My agency supports and actively promotes an inclusive workplace culture*                            12
## I work beyond what is required in my job to help my agency achieve its objectives*                  13
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*   14
## In general, employees in my agency feel they are valued for their contribution*                     15
## I feel committed to my agency’s goals*                                                              16
## My agency really inspires me to do my best work every day*                                          17
##                                                                                                       n
## I feel a strong personal attachment to my agency*                                                 85225
## I am proud to work in my agen*                                                                    85225
## Change is managed well in my agency*                                                              85225
## Internal communication within my agency is effective*                                             85225
## My workplace provides access to effective learning and development *                              85225
## I am satisfied with the opportunities for career progression in my agency*                        85225
## I would recommend my agency as a good place to work*                                              85225
## My agency actively encourages ethical behaviour by all of its employees*                          85225
## My agency is committed to creating a diverse workforce *                                          85225
## I believe strongly in the purpose and objectives of my agency*                                    85225
## Internal communication within my agency is regular*                                               85225
## My agency supports and actively promotes an inclusive workplace culture*                          85225
## I work beyond what is required in my job to help my agency achieve its objectives*                85225
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me* 85225
## In general, employees in my agency feel they are valued for their contribution*                   85225
## I feel committed to my agency’s goals*                                                            85225
## My agency really inspires me to do my best work every day*                                        85225
##                                                                                                   mean
## I feel a strong personal attachment to my agency*                                                 3.68
## I am proud to work in my agen*                                                                    3.86
## Change is managed well in my agency*                                                              3.01
## Internal communication within my agency is effective*                                             3.19
## My workplace provides access to effective learning and development *                              3.54
## I am satisfied with the opportunities for career progression in my agency*                        3.00
## I would recommend my agency as a good place to work*                                              3.57
## My agency actively encourages ethical behaviour by all of its employees*                          3.95
## My agency is committed to creating a diverse workforce *                                          3.97
## I believe strongly in the purpose and objectives of my agency*                                    3.97
## Internal communication within my agency is regular*                                               3.73
## My agency supports and actively promotes an inclusive workplace culture*                          3.84
## I work beyond what is required in my job to help my agency achieve its objectives*                3.98
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me* 3.43
## In general, employees in my agency feel they are valued for their contribution*                   3.16
## I feel committed to my agency’s goals*                                                            3.89
## My agency really inspires me to do my best work every day*                                        3.40
##                                                                                                     sd
## I feel a strong personal attachment to my agency*                                                 0.99
## I am proud to work in my agen*                                                                    0.93
## Change is managed well in my agency*                                                              1.10
## Internal communication within my agency is effective*                                             1.06
## My workplace provides access to effective learning and development *                              1.05
## I am satisfied with the opportunities for career progression in my agency*                        1.18
## I would recommend my agency as a good place to work*                                              1.03
## My agency actively encourages ethical behaviour by all of its employees*                          0.89
## My agency is committed to creating a diverse workforce *                                          0.83
## I believe strongly in the purpose and objectives of my agency*                                    0.84
## Internal communication within my agency is regular*                                               0.86
## My agency supports and actively promotes an inclusive workplace culture*                          0.84
## I work beyond what is required in my job to help my agency achieve its objectives*                0.78
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me* 0.96
## In general, employees in my agency feel they are valued for their contribution*                   1.05
## I feel committed to my agency’s goals*                                                            0.79
## My agency really inspires me to do my best work every day*                                        0.99
##                                                                                                   median
## I feel a strong personal attachment to my agency*                                                      4
## I am proud to work in my agen*                                                                         4
## Change is managed well in my agency*                                                                   3
## Internal communication within my agency is effective*                                                  3
## My workplace provides access to effective learning and development *                                   4
## I am satisfied with the opportunities for career progression in my agency*                             3
## I would recommend my agency as a good place to work*                                                   4
## My agency actively encourages ethical behaviour by all of its employees*                               4
## My agency is committed to creating a diverse workforce *                                               4
## I believe strongly in the purpose and objectives of my agency*                                         4
## Internal communication within my agency is regular*                                                    4
## My agency supports and actively promotes an inclusive workplace culture*                               4
## I work beyond what is required in my job to help my agency achieve its objectives*                     4
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*      4
## In general, employees in my agency feel they are valued for their contribution*                        3
## I feel committed to my agency’s goals*                                                                 4
## My agency really inspires me to do my best work every day*                                             4
##                                                                                                   trimmed
## I feel a strong personal attachment to my agency*                                                    3.77
## I am proud to work in my agen*                                                                       3.96
## Change is managed well in my agency*                                                                 3.06
## Internal communication within my agency is effective*                                                3.24
## My workplace provides access to effective learning and development *                                 3.62
## I am satisfied with the opportunities for career progression in my agency*                           3.03
## I would recommend my agency as a good place to work*                                                 3.65
## My agency actively encourages ethical behaviour by all of its employees*                             4.06
## My agency is committed to creating a diverse workforce *                                             4.04
## I believe strongly in the purpose and objectives of my agency*                                       4.05
## Internal communication within my agency is regular*                                                  3.82
## My agency supports and actively promotes an inclusive workplace culture*                             3.92
## I work beyond what is required in my job to help my agency achieve its objectives*                   4.04
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*    3.45
## In general, employees in my agency feel they are valued for their contribution*                      3.22
## I feel committed to my agency’s goals*                                                               3.94
## My agency really inspires me to do my best work every day*                                           3.43
##                                                                                                    mad
## I feel a strong personal attachment to my agency*                                                 1.48
## I am proud to work in my agen*                                                                    1.48
## Change is managed well in my agency*                                                              1.48
## Internal communication within my agency is effective*                                             1.48
## My workplace provides access to effective learning and development *                              0.00
## I am satisfied with the opportunities for career progression in my agency*                        1.48
## I would recommend my agency as a good place to work*                                              1.48
## My agency actively encourages ethical behaviour by all of its employees*                          0.00
## My agency is committed to creating a diverse workforce *                                          0.00
## I believe strongly in the purpose and objectives of my agency*                                    0.00
## Internal communication within my agency is regular*                                               0.00
## My agency supports and actively promotes an inclusive workplace culture*                          0.00
## I work beyond what is required in my job to help my agency achieve its objectives*                0.00
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me* 1.48
## In general, employees in my agency feel they are valued for their contribution*                   1.48
## I feel committed to my agency’s goals*                                                            0.00
## My agency really inspires me to do my best work every day*                                        1.48
##                                                                                                   min
## I feel a strong personal attachment to my agency*                                                   1
## I am proud to work in my agen*                                                                      1
## Change is managed well in my agency*                                                                1
## Internal communication within my agency is effective*                                               1
## My workplace provides access to effective learning and development *                                1
## I am satisfied with the opportunities for career progression in my agency*                          1
## I would recommend my agency as a good place to work*                                                1
## My agency actively encourages ethical behaviour by all of its employees*                            1
## My agency is committed to creating a diverse workforce *                                            1
## I believe strongly in the purpose and objectives of my agency*                                      1
## Internal communication within my agency is regular*                                                 1
## My agency supports and actively promotes an inclusive workplace culture*                            1
## I work beyond what is required in my job to help my agency achieve its objectives*                  1
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*   1
## In general, employees in my agency feel they are valued for their contribution*                     1
## I feel committed to my agency’s goals*                                                              1
## My agency really inspires me to do my best work every day*                                          1
##                                                                                                   max
## I feel a strong personal attachment to my agency*                                                   5
## I am proud to work in my agen*                                                                      5
## Change is managed well in my agency*                                                                5
## Internal communication within my agency is effective*                                               5
## My workplace provides access to effective learning and development *                                5
## I am satisfied with the opportunities for career progression in my agency*                          5
## I would recommend my agency as a good place to work*                                                5
## My agency actively encourages ethical behaviour by all of its employees*                            5
## My agency is committed to creating a diverse workforce *                                            5
## I believe strongly in the purpose and objectives of my agency*                                      5
## Internal communication within my agency is regular*                                                 5
## My agency supports and actively promotes an inclusive workplace culture*                            5
## I work beyond what is required in my job to help my agency achieve its objectives*                  5
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*   5
## In general, employees in my agency feel they are valued for their contribution*                     5
## I feel committed to my agency’s goals*                                                              5
## My agency really inspires me to do my best work every day*                                          5
##                                                                                                   range
## I feel a strong personal attachment to my agency*                                                     4
## I am proud to work in my agen*                                                                        4
## Change is managed well in my agency*                                                                  4
## Internal communication within my agency is effective*                                                 4
## My workplace provides access to effective learning and development *                                  4
## I am satisfied with the opportunities for career progression in my agency*                            4
## I would recommend my agency as a good place to work*                                                  4
## My agency actively encourages ethical behaviour by all of its employees*                              4
## My agency is committed to creating a diverse workforce *                                              4
## I believe strongly in the purpose and objectives of my agency*                                        4
## Internal communication within my agency is regular*                                                   4
## My agency supports and actively promotes an inclusive workplace culture*                              4
## I work beyond what is required in my job to help my agency achieve its objectives*                    4
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*     4
## In general, employees in my agency feel they are valued for their contribution*                       4
## I feel committed to my agency’s goals*                                                                4
## My agency really inspires me to do my best work every day*                                            4
##                                                                                                    skew
## I feel a strong personal attachment to my agency*                                                 -0.70
## I am proud to work in my agen*                                                                    -0.90
## Change is managed well in my agency*                                                              -0.18
## Internal communication within my agency is effective*                                             -0.41
## My workplace provides access to effective learning and development *                              -0.80
## I am satisfied with the opportunities for career progression in my agency*                        -0.20
## I would recommend my agency as a good place to work*                                              -0.75
## My agency actively encourages ethical behaviour by all of its employees*                          -1.17
## My agency is committed to creating a diverse workforce *                                          -0.93
## I believe strongly in the purpose and objectives of my agency*                                    -0.93
## Internal communication within my agency is regular*                                               -1.03
## My agency supports and actively promotes an inclusive workplace culture*                          -1.03
## I work beyond what is required in my job to help my agency achieve its objectives*                -0.79
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me* -0.39
## In general, employees in my agency feel they are valued for their contribution*                   -0.39
## I feel committed to my agency’s goals*                                                            -0.96
## My agency really inspires me to do my best work every day*                                        -0.48
##                                                                                                   kurtosis
## I feel a strong personal attachment to my agency*                                                     0.14
## I am proud to work in my agen*                                                                        0.82
## Change is managed well in my agency*                                                                 -0.83
## Internal communication within my agency is effective*                                                -0.65
## My workplace provides access to effective learning and development *                                  0.02
## I am satisfied with the opportunities for career progression in my agency*                           -0.98
## I would recommend my agency as a good place to work*                                                  0.15
## My agency actively encourages ethical behaviour by all of its employees*                              1.79
## My agency is committed to creating a diverse workforce *                                              1.51
## I believe strongly in the purpose and objectives of my agency*                                        1.38
## Internal communication within my agency is regular*                                                   1.22
## My agency supports and actively promotes an inclusive workplace culture*                              1.62
## I work beyond what is required in my job to help my agency achieve its objectives*                    1.20
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*    -0.24
## In general, employees in my agency feel they are valued for their contribution*                      -0.58
## I feel committed to my agency’s goals*                                                                1.84
## My agency really inspires me to do my best work every day*                                           -0.12
##                                                                                                   se
## I feel a strong personal attachment to my agency*                                                  0
## I am proud to work in my agen*                                                                     0
## Change is managed well in my agency*                                                               0
## Internal communication within my agency is effective*                                              0
## My workplace provides access to effective learning and development *                               0
## I am satisfied with the opportunities for career progression in my agency*                         0
## I would recommend my agency as a good place to work*                                               0
## My agency actively encourages ethical behaviour by all of its employees*                           0
## My agency is committed to creating a diverse workforce *                                           0
## I believe strongly in the purpose and objectives of my agency*                                     0
## Internal communication within my agency is regular*                                                0
## My agency supports and actively promotes an inclusive workplace culture*                           0
## I work beyond what is required in my job to help my agency achieve its objectives*                 0
## When someone praises the accomplishments of my agency, it feels like a personal compliment to me*  0
## In general, employees in my agency feel they are valued for their contribution*                    0
## I feel committed to my agency’s goals*                                                             0
## My agency really inspires me to do my best work every day*                                         0
# Descriptive statistics step 2
#scale 6: team_performance_support analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
team_performance_support_likert <- likert(team_performance_support_df)
summary(team_performance_support_likert)
##                                                                                   Item
## 4                          The people in my workgroup complete work to a high standard
## 3         The work processes we have in place allow me to be as productive as possible
## 1 My workgroup has the appropriate skills, capabilities, and knowledge to perform well
## 2                     My workgroup has the tools and resources we need to perform well
##         low  neutral     high     mean        sd
## 4  5.777647 13.72485 80.49751 3.968307 0.8296365
## 3  6.652977 14.19771 79.14931 3.943092 0.8388534
## 1 21.892637 16.32972 61.77765 3.481737 1.0520228
## 2 26.667058 20.52801 52.80493 3.299149 1.0900622
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(team_performance_support_likert, type="bar")

# bar plot ordered by question (not centered)
plot(team_performance_support_likert, group.order = names(team_performance_support_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(team_performance_support_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(team_performance_support_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(team_performance_support_df)
##                                                                                       vars
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*    1
## My workgroup has the tools and resources we need to perform well*                        2
## The work processes we have in place allow me to be as productive as possible*            3
## The people in my workgroup complete work to a high standard*                             4
##                                                                                           n
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well* 85225
## My workgroup has the tools and resources we need to perform well*                     85225
## The work processes we have in place allow me to be as productive as possible*         85225
## The people in my workgroup complete work to a high standard*                          85225
##                                                                                       mean
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well* 3.48
## My workgroup has the tools and resources we need to perform well*                     3.30
## The work processes we have in place allow me to be as productive as possible*         3.94
## The people in my workgroup complete work to a high standard*                          3.97
##                                                                                         sd
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well* 1.05
## My workgroup has the tools and resources we need to perform well*                     1.09
## The work processes we have in place allow me to be as productive as possible*         0.84
## The people in my workgroup complete work to a high standard*                          0.83
##                                                                                       median
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*      4
## My workgroup has the tools and resources we need to perform well*                          4
## The work processes we have in place allow me to be as productive as possible*              4
## The people in my workgroup complete work to a high standard*                               4
##                                                                                       trimmed
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*    3.53
## My workgroup has the tools and resources we need to perform well*                        3.33
## The work processes we have in place allow me to be as productive as possible*            4.03
## The people in my workgroup complete work to a high standard*                             4.05
##                                                                                        mad
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well* 1.48
## My workgroup has the tools and resources we need to perform well*                     1.48
## The work processes we have in place allow me to be as productive as possible*         0.00
## The people in my workgroup complete work to a high standard*                          0.00
##                                                                                       min
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*   1
## My workgroup has the tools and resources we need to perform well*                       1
## The work processes we have in place allow me to be as productive as possible*           1
## The people in my workgroup complete work to a high standard*                            1
##                                                                                       max
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*   5
## My workgroup has the tools and resources we need to perform well*                       5
## The work processes we have in place allow me to be as productive as possible*           5
## The people in my workgroup complete work to a high standard*                            5
##                                                                                       range
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*     4
## My workgroup has the tools and resources we need to perform well*                         4
## The work processes we have in place allow me to be as productive as possible*             4
## The people in my workgroup complete work to a high standard*                              4
##                                                                                        skew
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well* -0.63
## My workgroup has the tools and resources we need to perform well*                     -0.44
## The work processes we have in place allow me to be as productive as possible*         -0.98
## The people in my workgroup complete work to a high standard*                          -1.07
##                                                                                       kurtosis
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*    -0.42
## My workgroup has the tools and resources we need to perform well*                        -0.70
## The work processes we have in place allow me to be as productive as possible*             1.38
## The people in my workgroup complete work to a high standard*                              1.85
##                                                                                       se
## My workgroup has the appropriate skills, capabilities, and knowledge to perform well*  0
## My workgroup has the tools and resources we need to perform well*                      0
## The work processes we have in place allow me to be as productive as possible*          0
## The people in my workgroup complete work to a high standard*                           0
# Descriptive statistics step 2
#scale 7: risk_culture analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
risk_culture_likert <- likert(risk_culture_df)
summary(risk_culture_likert)
##                                                                                                   Item
## 1                           My agency supports employees to escalate risk-related issues with managers
## 2                              Risk management concerns are discussed openly and honestly in my agency
## 3 My agency provides me with opportunities to develop and enhance my skills to manage risk effectively
## 5                                                     Appropriate risk taking is rewarded in my agency
## 4                   Employees in my agency are encouraged to consider opportunities when managing risk
##         low  neutral     high     mean        sd
## 1  6.647111 21.47023 71.88266 3.781109 0.8124453
## 2 10.655324 26.11206 63.23262 3.628290 0.8869735
## 3 10.611910 35.50484 53.88325 3.494151 0.8428955
## 5 16.310942 51.20211 32.48695 3.172356 0.8452860
## 4 22.337342 49.02200 28.64066 3.052097 0.8971876
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(risk_culture_likert, type="bar")

# bar plot ordered by question (not centered)
plot(risk_culture_likert, group.order = names(risk_culture_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(risk_culture_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(risk_culture_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(risk_culture_df)
##                                                                                                       vars
## My agency supports employees to escalate risk-related issues with managers*                              1
## Risk management concerns are discussed openly and honestly in my agency*                                 2
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*    3
## Employees in my agency are encouraged to consider opportunities when managing risk*                      4
## Appropriate risk taking is rewarded in my agency*                                                        5
##                                                                                                           n
## My agency supports employees to escalate risk-related issues with managers*                           85225
## Risk management concerns are discussed openly and honestly in my agency*                              85225
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively* 85225
## Employees in my agency are encouraged to consider opportunities when managing risk*                   85225
## Appropriate risk taking is rewarded in my agency*                                                     85225
##                                                                                                       mean
## My agency supports employees to escalate risk-related issues with managers*                           3.78
## Risk management concerns are discussed openly and honestly in my agency*                              3.63
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively* 3.49
## Employees in my agency are encouraged to consider opportunities when managing risk*                   3.05
## Appropriate risk taking is rewarded in my agency*                                                     3.17
##                                                                                                         sd
## My agency supports employees to escalate risk-related issues with managers*                           0.81
## Risk management concerns are discussed openly and honestly in my agency*                              0.89
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively* 0.84
## Employees in my agency are encouraged to consider opportunities when managing risk*                   0.90
## Appropriate risk taking is rewarded in my agency*                                                     0.85
##                                                                                                       median
## My agency supports employees to escalate risk-related issues with managers*                                4
## Risk management concerns are discussed openly and honestly in my agency*                                   4
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*      4
## Employees in my agency are encouraged to consider opportunities when managing risk*                        3
## Appropriate risk taking is rewarded in my agency*                                                          3
##                                                                                                       trimmed
## My agency supports employees to escalate risk-related issues with managers*                              3.83
## Risk management concerns are discussed openly and honestly in my agency*                                 3.69
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*    3.54
## Employees in my agency are encouraged to consider opportunities when managing risk*                      3.08
## Appropriate risk taking is rewarded in my agency*                                                        3.20
##                                                                                                        mad
## My agency supports employees to escalate risk-related issues with managers*                           0.00
## Risk management concerns are discussed openly and honestly in my agency*                              0.00
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively* 1.48
## Employees in my agency are encouraged to consider opportunities when managing risk*                   1.48
## Appropriate risk taking is rewarded in my agency*                                                     0.00
##                                                                                                       min
## My agency supports employees to escalate risk-related issues with managers*                             1
## Risk management concerns are discussed openly and honestly in my agency*                                1
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*   1
## Employees in my agency are encouraged to consider opportunities when managing risk*                     1
## Appropriate risk taking is rewarded in my agency*                                                       1
##                                                                                                       max
## My agency supports employees to escalate risk-related issues with managers*                             5
## Risk management concerns are discussed openly and honestly in my agency*                                5
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*   5
## Employees in my agency are encouraged to consider opportunities when managing risk*                     5
## Appropriate risk taking is rewarded in my agency*                                                       5
##                                                                                                       range
## My agency supports employees to escalate risk-related issues with managers*                               4
## Risk management concerns are discussed openly and honestly in my agency*                                  4
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*     4
## Employees in my agency are encouraged to consider opportunities when managing risk*                       4
## Appropriate risk taking is rewarded in my agency*                                                         4
##                                                                                                        skew
## My agency supports employees to escalate risk-related issues with managers*                           -0.88
## Risk management concerns are discussed openly and honestly in my agency*                              -0.70
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively* -0.52
## Employees in my agency are encouraged to consider opportunities when managing risk*                   -0.19
## Appropriate risk taking is rewarded in my agency*                                                     -0.23
##                                                                                                       kurtosis
## My agency supports employees to escalate risk-related issues with managers*                               1.33
## Risk management concerns are discussed openly and honestly in my agency*                                  0.49
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*     0.38
## Employees in my agency are encouraged to consider opportunities when managing risk*                       0.11
## Appropriate risk taking is rewarded in my agency*                                                         0.40
##                                                                                                       se
## My agency supports employees to escalate risk-related issues with managers*                            0
## Risk management concerns are discussed openly and honestly in my agency*                               0
## My agency provides me with opportunities to develop and enhance my skills to manage risk effectively*  0
## Employees in my agency are encouraged to consider opportunities when managing risk*                    0
## Appropriate risk taking is rewarded in my agency*                                                      0
# Descriptive statistics step 2
#scale 8: innovation analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
innovation_likert <- likert(innovation_df)
summary(innovation_likert)
##                                                                                                       Item
## 1 I believe that one of my responsibilities is to continually look for new ways to improve the way we work
## 2                 My immediate supervisor encourages me to come up with new or better ways of doing things
## 3                              People are recognised for coming up with new and innovative ways of working
## 4                                 My agency inspires me to come up with new or better ways of doing things
## 5                        My agency recognises and supports the notion that failure is a part of innovation
##         low  neutral     high     mean        sd
## 1  4.430625 11.29363 84.27574 4.058915 0.7720688
## 2  9.707246 20.29569 69.99707 3.776873 0.9296263
## 3 14.126137 27.76415 58.10971 3.534116 0.9620672
## 4 18.823115 35.14931 46.02757 3.327204 0.9851853
## 5 23.940158 40.22763 35.83221 3.117606 1.0011154
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(innovation_likert, type="bar")

# bar plot ordered by question (not centered)
plot(innovation_likert, group.order = names(innovation_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(innovation_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(innovation_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(innovation_df)
##                                                                                                           vars
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*    1
## My immediate supervisor encourages me to come up with new or better ways of doing things*                    2
## People are recognised for coming up with new and innovative ways of working*                                 3
## My agency inspires me to come up with new or better ways of doing things*                                    4
## My agency recognises and supports the notion that failure is a part of innovation*                           5
##                                                                                                               n
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work* 85225
## My immediate supervisor encourages me to come up with new or better ways of doing things*                 85225
## People are recognised for coming up with new and innovative ways of working*                              85225
## My agency inspires me to come up with new or better ways of doing things*                                 85225
## My agency recognises and supports the notion that failure is a part of innovation*                        85225
##                                                                                                           mean
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work* 4.06
## My immediate supervisor encourages me to come up with new or better ways of doing things*                 3.78
## People are recognised for coming up with new and innovative ways of working*                              3.53
## My agency inspires me to come up with new or better ways of doing things*                                 3.33
## My agency recognises and supports the notion that failure is a part of innovation*                        3.12
##                                                                                                             sd
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work* 0.77
## My immediate supervisor encourages me to come up with new or better ways of doing things*                 0.93
## People are recognised for coming up with new and innovative ways of working*                              0.96
## My agency inspires me to come up with new or better ways of doing things*                                 0.99
## My agency recognises and supports the notion that failure is a part of innovation*                        1.00
##                                                                                                           median
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*      4
## My immediate supervisor encourages me to come up with new or better ways of doing things*                      4
## People are recognised for coming up with new and innovative ways of working*                                   4
## My agency inspires me to come up with new or better ways of doing things*                                      3
## My agency recognises and supports the notion that failure is a part of innovation*                             3
##                                                                                                           trimmed
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*    4.14
## My immediate supervisor encourages me to come up with new or better ways of doing things*                    3.87
## People are recognised for coming up with new and innovative ways of working*                                 3.59
## My agency inspires me to come up with new or better ways of doing things*                                    3.34
## My agency recognises and supports the notion that failure is a part of innovation*                           3.15
##                                                                                                            mad
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work* 0.00
## My immediate supervisor encourages me to come up with new or better ways of doing things*                 0.00
## People are recognised for coming up with new and innovative ways of working*                              1.48
## My agency inspires me to come up with new or better ways of doing things*                                 1.48
## My agency recognises and supports the notion that failure is a part of innovation*                        1.48
##                                                                                                           min
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*   1
## My immediate supervisor encourages me to come up with new or better ways of doing things*                   1
## People are recognised for coming up with new and innovative ways of working*                                1
## My agency inspires me to come up with new or better ways of doing things*                                   1
## My agency recognises and supports the notion that failure is a part of innovation*                          1
##                                                                                                           max
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*   5
## My immediate supervisor encourages me to come up with new or better ways of doing things*                   5
## People are recognised for coming up with new and innovative ways of working*                                5
## My agency inspires me to come up with new or better ways of doing things*                                   5
## My agency recognises and supports the notion that failure is a part of innovation*                          5
##                                                                                                           range
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*     4
## My immediate supervisor encourages me to come up with new or better ways of doing things*                     4
## People are recognised for coming up with new and innovative ways of working*                                  4
## My agency inspires me to come up with new or better ways of doing things*                                     4
## My agency recognises and supports the notion that failure is a part of innovation*                            4
##                                                                                                            skew
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work* -1.00
## My immediate supervisor encourages me to come up with new or better ways of doing things*                 -0.82
## People are recognised for coming up with new and innovative ways of working*                              -0.60
## My agency inspires me to come up with new or better ways of doing things*                                 -0.34
## My agency recognises and supports the notion that failure is a part of innovation*                        -0.24
##                                                                                                           kurtosis
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*     1.83
## My immediate supervisor encourages me to come up with new or better ways of doing things*                     0.63
## People are recognised for coming up with new and innovative ways of working*                                  0.09
## My agency inspires me to come up with new or better ways of doing things*                                    -0.25
## My agency recognises and supports the notion that failure is a part of innovation*                           -0.29
##                                                                                                           se
## I believe that one of my responsibilities is to continually look for new ways to improve the way we work*  0
## My immediate supervisor encourages me to come up with new or better ways of doing things*                  0
## People are recognised for coming up with new and innovative ways of working*                               0
## My agency inspires me to come up with new or better ways of doing things*                                  0
## My agency recognises and supports the notion that failure is a part of innovation*                         0
# Descriptive statistics step 2
#scale 9: leadership_engagement analysis

str(leadership_engagement_df)
## 'data.frame':    85225 obs. of  7 variables:
##  $ In my agency, the SES are sufficiently visible (e.g. can be seen in action)                               : Factor w/ 6 levels "1","2","3","4",..: 4 3 4 3 4 4 4 4 1 3 ...
##  $ In myagency, communication between the SES and other employees is effective                               : Factor w/ 6 levels "1","2","3","4",..: 3 4 2 3 4 5 3 4 1 3 ...
##  $ In my agency, the SES actively contribute to the work of our agency                                       : Factor w/ 6 levels "1","2","3","4",..: 4 4 3 3 4 4 4 4 1 3 ...
##  $ In my agency, the SES are of a high quality                                                               : Factor w/ 6 levels "1","2","3","4",..: 3 4 2 3 4 5 4 4 3 3 ...
##  $ In my agency, the SES supports and provides opportunities for new ways of working in a digital environment: Factor w/ 6 levels "1","2","3","4",..: 4 4 2 3 4 4 3 4 3 3 ...
##  $ In my agency, the SES work as a team                                                                      : Factor w/ 6 levels "1","2","3","4",..: 3 3 4 3 3 4 2 4 3 3 ...
##  $ In my agency, the SES clearly articulate the direction and priorities for our agency                      : Factor w/ 6 levels "1","2","3","4",..: 3 4 1 3 4 4 4 4 1 3 ...
leadership_engagement_df <- droplevels(leadership_engagement_df)
str(leadership_engagement_df)
## 'data.frame':    85225 obs. of  7 variables:
##  $ In my agency, the SES are sufficiently visible (e.g. can be seen in action)                               : Factor w/ 5 levels "1","2","3","4",..: 4 3 4 3 4 4 4 4 1 3 ...
##  $ In myagency, communication between the SES and other employees is effective                               : Factor w/ 5 levels "1","2","3","4",..: 3 4 2 3 4 5 3 4 1 3 ...
##  $ In my agency, the SES actively contribute to the work of our agency                                       : Factor w/ 5 levels "1","2","3","4",..: 4 4 3 3 4 4 4 4 1 3 ...
##  $ In my agency, the SES are of a high quality                                                               : Factor w/ 5 levels "1","2","3","4",..: 3 4 2 3 4 5 4 4 3 3 ...
##  $ In my agency, the SES supports and provides opportunities for new ways of working in a digital environment: Factor w/ 5 levels "1","2","3","4",..: 4 4 2 3 4 4 3 4 3 3 ...
##  $ In my agency, the SES work as a team                                                                      : Factor w/ 5 levels "1","2","3","4",..: 3 3 4 3 3 4 2 4 3 3 ...
##  $ In my agency, the SES clearly articulate the direction and priorities for our agency                      : Factor w/ 5 levels "1","2","3","4",..: 3 4 1 3 4 4 4 4 1 3 ...
# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
leadership_engagement_likert <- likert(leadership_engagement_df)
summary(leadership_engagement_likert)
##                                                                                                         Item
## 3                                        In my agency, the SES actively contribute to the work of our agency
## 7                       In my agency, the SES clearly articulate the direction and priorities for our agency
## 1                                In my agency, the SES are sufficiently visible (e.g. can be seen in action)
## 4                                                                In my agency, the SES are of a high quality
## 5 In my agency, the SES supports and provides opportunities for new ways of working in a digital environment
## 2                                In myagency, communication between the SES and other employees is effective
## 6                                                                       In my agency, the SES work as a team
##        low  neutral     high     mean        sd
## 3 11.33236 29.88560 58.78205 3.548912 0.9513805
## 7 14.43943 30.84306 54.71751 3.457554 0.9898261
## 1 21.83162 25.30126 52.86712 3.342364 1.0763718
## 4 13.73541 34.67762 51.58698 3.443731 0.9989693
## 5 14.06043 35.17160 50.76797 3.418046 0.9784345
## 2 22.49223 31.57524 45.93253 3.239097 1.0502093
## 6 15.70197 43.42974 40.86829 3.277137 0.9714628
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(leadership_engagement_likert, type="bar")

# bar plot ordered by question (not centered)
plot(leadership_engagement_likert, group.order = names(leadership_engagement_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(leadership_engagement_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(leadership_engagement_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(leadership_engagement_df)
##                                                                                                             vars
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                   1
## In myagency, communication between the SES and other employees is effective*                                   2
## In my agency, the SES actively contribute to the work of our agency*                                           3
## In my agency, the SES are of a high quality*                                                                   4
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*    5
## In my agency, the SES work as a team*                                                                          6
## In my agency, the SES clearly articulate the direction and priorities for our agency*                          7
##                                                                                                                 n
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                85225
## In myagency, communication between the SES and other employees is effective*                                85225
## In my agency, the SES actively contribute to the work of our agency*                                        85225
## In my agency, the SES are of a high quality*                                                                85225
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment* 85225
## In my agency, the SES work as a team*                                                                       85225
## In my agency, the SES clearly articulate the direction and priorities for our agency*                       85225
##                                                                                                             mean
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                3.34
## In myagency, communication between the SES and other employees is effective*                                3.24
## In my agency, the SES actively contribute to the work of our agency*                                        3.55
## In my agency, the SES are of a high quality*                                                                3.44
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment* 3.42
## In my agency, the SES work as a team*                                                                       3.28
## In my agency, the SES clearly articulate the direction and priorities for our agency*                       3.46
##                                                                                                               sd
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                1.08
## In myagency, communication between the SES and other employees is effective*                                1.05
## In my agency, the SES actively contribute to the work of our agency*                                        0.95
## In my agency, the SES are of a high quality*                                                                1.00
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment* 0.98
## In my agency, the SES work as a team*                                                                       0.97
## In my agency, the SES clearly articulate the direction and priorities for our agency*                       0.99
##                                                                                                             median
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                     4
## In myagency, communication between the SES and other employees is effective*                                     3
## In my agency, the SES actively contribute to the work of our agency*                                             4
## In my agency, the SES are of a high quality*                                                                     4
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*      4
## In my agency, the SES work as a team*                                                                            3
## In my agency, the SES clearly articulate the direction and priorities for our agency*                            4
##                                                                                                             trimmed
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                   3.39
## In myagency, communication between the SES and other employees is effective*                                   3.29
## In my agency, the SES actively contribute to the work of our agency*                                           3.62
## In my agency, the SES are of a high quality*                                                                   3.50
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*    3.47
## In my agency, the SES work as a team*                                                                          3.31
## In my agency, the SES clearly articulate the direction and priorities for our agency*                          3.52
##                                                                                                              mad
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                1.48
## In myagency, communication between the SES and other employees is effective*                                1.48
## In my agency, the SES actively contribute to the work of our agency*                                        1.48
## In my agency, the SES are of a high quality*                                                                1.48
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment* 1.48
## In my agency, the SES work as a team*                                                                       1.48
## In my agency, the SES clearly articulate the direction and priorities for our agency*                       1.48
##                                                                                                             min
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                  1
## In myagency, communication between the SES and other employees is effective*                                  1
## In my agency, the SES actively contribute to the work of our agency*                                          1
## In my agency, the SES are of a high quality*                                                                  1
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*   1
## In my agency, the SES work as a team*                                                                         1
## In my agency, the SES clearly articulate the direction and priorities for our agency*                         1
##                                                                                                             max
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                  5
## In myagency, communication between the SES and other employees is effective*                                  5
## In my agency, the SES actively contribute to the work of our agency*                                          5
## In my agency, the SES are of a high quality*                                                                  5
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*   5
## In my agency, the SES work as a team*                                                                         5
## In my agency, the SES clearly articulate the direction and priorities for our agency*                         5
##                                                                                                             range
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                    4
## In myagency, communication between the SES and other employees is effective*                                    4
## In my agency, the SES actively contribute to the work of our agency*                                            4
## In my agency, the SES are of a high quality*                                                                    4
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*     4
## In my agency, the SES work as a team*                                                                           4
## In my agency, the SES clearly articulate the direction and priorities for our agency*                           4
##                                                                                                              skew
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                -0.56
## In myagency, communication between the SES and other employees is effective*                                -0.46
## In my agency, the SES actively contribute to the work of our agency*                                        -0.77
## In my agency, the SES are of a high quality*                                                                -0.58
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment* -0.59
## In my agency, the SES work as a team*                                                                       -0.41
## In my agency, the SES clearly articulate the direction and priorities for our agency*                       -0.67
##                                                                                                             kurtosis
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                   -0.38
## In myagency, communication between the SES and other employees is effective*                                   -0.37
## In my agency, the SES actively contribute to the work of our agency*                                            0.60
## In my agency, the SES are of a high quality*                                                                    0.19
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*     0.22
## In my agency, the SES work as a team*                                                                           0.16
## In my agency, the SES clearly articulate the direction and priorities for our agency*                           0.23
##                                                                                                             se
## In my agency, the SES are sufficiently visible (e.g. can be seen in action)*                                 0
## In myagency, communication between the SES and other employees is effective*                                 0
## In my agency, the SES actively contribute to the work of our agency*                                         0
## In my agency, the SES are of a high quality*                                                                 0
## In my agency, the SES supports and provides opportunities for new ways of working in a digital environment*  0
## In my agency, the SES work as a team*                                                                        0
## In my agency, the SES clearly articulate the direction and priorities for our agency*                        0
# Descriptive statistics step 2
#scale 10: wellbeing analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
wellbeing_likert <- likert(wellbeing_df)
summary(wellbeing_likert)
##                                                                                                                Item
## 13                                            I believe my immediate supervisor cares about my health and wellbeing
## 7                                                                I am clear what my duties and responsibilities are
## 5                                                        I receive the respect I deserve from my colleagues at work
## 1  Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?
## 4                                                                             My immediate supervisor encourages me
## 9                     I am satisfied with the policies/practices in place to help me manage my health and wellbeing
## 10                 My agency does a good job of communicating what it can offer me in terms of health and wellbeing
## 3                                                                      I have a choice in deciding how I do my work
## 11                                                      My agency does a good job of promoting health and wellbeing
## 12                                                            I think my agency cares about my health and wellbeing
## 6                                                                                Relationships at work are strained
## 8                                                                          Staff are consulted about change at work
## 2                                                                                 I have unrealistic time pressures
##          low  neutral     high     mean        sd
## 13  6.033441 11.87562 82.09094 4.076011 0.8940756
## 7   4.401291 14.15430 81.44441 4.101813 0.8294821
## 5   4.938692 18.38897 76.67234 4.007944 0.8541951
## 1  11.994133 13.60516 74.40070 3.818469 0.9682157
## 4   9.174538 19.35817 71.46729 3.940780 1.0069581
## 9   9.843356 20.68407 69.47257 3.703866 0.8756471
## 10 14.752713 25.03960 60.20769 3.540780 0.9439027
## 3  15.511880 24.31329 60.17483 3.539361 1.0080301
## 11 14.871223 26.55793 58.57084 3.523802 0.9527954
## 12 17.237900 26.66236 56.09974 3.452942 1.0199682
## 6  12.252273 34.87240 52.87533 3.470719 0.8949910
## 8  19.004987 34.21179 46.78322 3.354344 1.0190626
## 2  26.973306 43.63274 29.39396 2.994086 0.9336441
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(wellbeing_likert, type="bar")

# bar plot ordered by question (not centered)
plot(wellbeing_likert, group.order = names(wellbeing_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(wellbeing_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(wellbeing_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(wellbeing_df)
##                                                                                                                   vars
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*    1
## I have unrealistic time pressures*                                                                                   2
## I have a choice in deciding how I do my work*                                                                        3
## My immediate supervisor encourages me*                                                                               4
## I receive the respect I deserve from my colleagues at work*                                                          5
## Relationships at work are strained*                                                                                  6
## I am clear what my duties and responsibilities are*                                                                  7
## Staff are consulted about change at work*                                                                            8
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                       9
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                   10
## My agency does a good job of promoting health and wellbeing*                                                        11
## I think my agency cares about my health and wellbeing*                                                              12
## I believe my immediate supervisor cares about my health and wellbeing*                                              13
##                                                                                                                       n
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?* 85225
## I have unrealistic time pressures*                                                                                85225
## I have a choice in deciding how I do my work*                                                                     85225
## My immediate supervisor encourages me*                                                                            85225
## I receive the respect I deserve from my colleagues at work*                                                       85225
## Relationships at work are strained*                                                                               85225
## I am clear what my duties and responsibilities are*                                                               85225
## Staff are consulted about change at work*                                                                         85225
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                    85225
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                 85225
## My agency does a good job of promoting health and wellbeing*                                                      85225
## I think my agency cares about my health and wellbeing*                                                            85225
## I believe my immediate supervisor cares about my health and wellbeing*                                            85225
##                                                                                                                   mean
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?* 3.82
## I have unrealistic time pressures*                                                                                2.99
## I have a choice in deciding how I do my work*                                                                     3.54
## My immediate supervisor encourages me*                                                                            3.94
## I receive the respect I deserve from my colleagues at work*                                                       4.01
## Relationships at work are strained*                                                                               3.47
## I am clear what my duties and responsibilities are*                                                               4.10
## Staff are consulted about change at work*                                                                         3.35
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                    3.70
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                 3.54
## My agency does a good job of promoting health and wellbeing*                                                      3.52
## I think my agency cares about my health and wellbeing*                                                            3.45
## I believe my immediate supervisor cares about my health and wellbeing*                                            4.08
##                                                                                                                     sd
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?* 0.97
## I have unrealistic time pressures*                                                                                0.93
## I have a choice in deciding how I do my work*                                                                     1.01
## My immediate supervisor encourages me*                                                                            1.01
## I receive the respect I deserve from my colleagues at work*                                                       0.85
## Relationships at work are strained*                                                                               0.89
## I am clear what my duties and responsibilities are*                                                               0.83
## Staff are consulted about change at work*                                                                         1.02
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                    0.88
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                 0.94
## My agency does a good job of promoting health and wellbeing*                                                      0.95
## I think my agency cares about my health and wellbeing*                                                            1.02
## I believe my immediate supervisor cares about my health and wellbeing*                                            0.89
##                                                                                                                   median
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*      4
## I have unrealistic time pressures*                                                                                     3
## I have a choice in deciding how I do my work*                                                                          4
## My immediate supervisor encourages me*                                                                                 4
## I receive the respect I deserve from my colleagues at work*                                                            4
## Relationships at work are strained*                                                                                    4
## I am clear what my duties and responsibilities are*                                                                    4
## Staff are consulted about change at work*                                                                              3
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                         4
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                      4
## My agency does a good job of promoting health and wellbeing*                                                           4
## I think my agency cares about my health and wellbeing*                                                                 4
## I believe my immediate supervisor cares about my health and wellbeing*                                                 4
##                                                                                                                   trimmed
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*    3.93
## I have unrealistic time pressures*                                                                                   3.03
## I have a choice in deciding how I do my work*                                                                        3.61
## My immediate supervisor encourages me*                                                                               4.07
## I receive the respect I deserve from my colleagues at work*                                                          4.08
## Relationships at work are strained*                                                                                  3.51
## I am clear what my duties and responsibilities are*                                                                  4.19
## Staff are consulted about change at work*                                                                            3.38
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                       3.78
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                    3.59
## My agency does a good job of promoting health and wellbeing*                                                         3.57
## I think my agency cares about my health and wellbeing*                                                               3.51
## I believe my immediate supervisor cares about my health and wellbeing*                                               4.20
##                                                                                                                    mad
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?* 0.00
## I have unrealistic time pressures*                                                                                1.48
## I have a choice in deciding how I do my work*                                                                     1.48
## My immediate supervisor encourages me*                                                                            1.48
## I receive the respect I deserve from my colleagues at work*                                                       1.48
## Relationships at work are strained*                                                                               1.48
## I am clear what my duties and responsibilities are*                                                               1.48
## Staff are consulted about change at work*                                                                         1.48
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                    0.00
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                 1.48
## My agency does a good job of promoting health and wellbeing*                                                      1.48
## I think my agency cares about my health and wellbeing*                                                            1.48
## I believe my immediate supervisor cares about my health and wellbeing*                                            1.48
##                                                                                                                   min
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*   1
## I have unrealistic time pressures*                                                                                  1
## I have a choice in deciding how I do my work*                                                                       1
## My immediate supervisor encourages me*                                                                              1
## I receive the respect I deserve from my colleagues at work*                                                         1
## Relationships at work are strained*                                                                                 1
## I am clear what my duties and responsibilities are*                                                                 1
## Staff are consulted about change at work*                                                                           1
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                      1
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                   1
## My agency does a good job of promoting health and wellbeing*                                                        1
## I think my agency cares about my health and wellbeing*                                                              1
## I believe my immediate supervisor cares about my health and wellbeing*                                              1
##                                                                                                                   max
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*   5
## I have unrealistic time pressures*                                                                                  5
## I have a choice in deciding how I do my work*                                                                       5
## My immediate supervisor encourages me*                                                                              5
## I receive the respect I deserve from my colleagues at work*                                                         5
## Relationships at work are strained*                                                                                 5
## I am clear what my duties and responsibilities are*                                                                 5
## Staff are consulted about change at work*                                                                           5
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                      5
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                   5
## My agency does a good job of promoting health and wellbeing*                                                        5
## I think my agency cares about my health and wellbeing*                                                              5
## I believe my immediate supervisor cares about my health and wellbeing*                                              5
##                                                                                                                   range
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*     4
## I have unrealistic time pressures*                                                                                    4
## I have a choice in deciding how I do my work*                                                                         4
## My immediate supervisor encourages me*                                                                                4
## I receive the respect I deserve from my colleagues at work*                                                           4
## Relationships at work are strained*                                                                                   4
## I am clear what my duties and responsibilities are*                                                                   4
## Staff are consulted about change at work*                                                                             4
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                        4
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                     4
## My agency does a good job of promoting health and wellbeing*                                                          4
## I think my agency cares about my health and wellbeing*                                                                4
## I believe my immediate supervisor cares about my health and wellbeing*                                                4
##                                                                                                                    skew
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?* -0.95
## I have unrealistic time pressures*                                                                                -0.21
## I have a choice in deciding how I do my work*                                                                     -0.69
## My immediate supervisor encourages me*                                                                            -0.83
## I receive the respect I deserve from my colleagues at work*                                                       -0.77
## Relationships at work are strained*                                                                               -0.53
## I am clear what my duties and responsibilities are*                                                               -0.91
## Staff are consulted about change at work*                                                                         -0.32
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                    -0.92
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                 -0.65
## My agency does a good job of promoting health and wellbeing*                                                      -0.61
## I think my agency cares about my health and wellbeing*                                                            -0.63
## I believe my immediate supervisor cares about my health and wellbeing*                                            -1.20
##                                                                                                                   kurtosis
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*     0.64
## I have unrealistic time pressures*                                                                                   -0.24
## I have a choice in deciding how I do my work*                                                                         0.07
## My immediate supervisor encourages me*                                                                                0.20
## I receive the respect I deserve from my colleagues at work*                                                           0.59
## Relationships at work are strained*                                                                                   0.28
## I am clear what my duties and responsibilities are*                                                                   0.99
## Staff are consulted about change at work*                                                                            -0.34
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                        1.01
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                     0.09
## My agency does a good job of promoting health and wellbeing*                                                          0.04
## I think my agency cares about my health and wellbeing*                                                               -0.06
## I believe my immediate supervisor cares about my health and wellbeing*                                                1.79
##                                                                                                                   se
## Considering your work and life priorities, how satisfied are you with the work-life balance in your current job?*  0
## I have unrealistic time pressures*                                                                                 0
## I have a choice in deciding how I do my work*                                                                      0
## My immediate supervisor encourages me*                                                                             0
## I receive the respect I deserve from my colleagues at work*                                                        0
## Relationships at work are strained*                                                                                0
## I am clear what my duties and responsibilities are*                                                                0
## Staff are consulted about change at work*                                                                          0
## I am satisfied with the policies/practices in place to help me manage my health and wellbeing*                     0
## My agency does a good job of communicating what it can offer me in terms of health and wellbeing*                  0
## My agency does a good job of promoting health and wellbeing*                                                       0
## I think my agency cares about my health and wellbeing*                                                             0
## I believe my immediate supervisor cares about my health and wellbeing*                                             0
# Descriptive statistics step 2
#scale 11: values analysis

str(values_df)
## 'data.frame':    85225 obs. of  3 variables:
##  $ Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?: Factor w/ 6 levels "1","2","3","4",..: 5 5 3 5 5 5 5 4 4 3 ...
##  $ Does your supervisor act in accordance with the APS Values in his or her everyday work?                : Factor w/ 6 levels "1","2","3","4",..: 5 5 4 5 5 5 5 5 4 4 ...
##  $ Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?                 : Factor w/ 6 levels "1","2","3","4",..: 5 5 3 3 5 5 4 4 4 3 ...
values_df <- droplevels(values_df)
str(values_df)
## 'data.frame':    85225 obs. of  3 variables:
##  $ Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?: Factor w/ 5 levels "1","2","3","4",..: 5 5 3 5 5 5 5 4 4 3 ...
##  $ Does your supervisor act in accordance with the APS Values in his or her everyday work?                : Factor w/ 5 levels "1","2","3","4",..: 5 5 4 5 5 5 5 5 4 4 ...
##  $ Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?                 : Factor w/ 5 levels "1","2","3","4",..: 5 5 3 3 5 5 4 4 4 3 ...
# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
values_likert <- likert(values_df)
summary(values_likert)
##                                                                                                      Item
## 2                 Does your supervisor act in accordance with the APS Values in his or her everyday work?
## 1 Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?
## 3                  Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?
##        low   neutral     high     mean        sd
## 2 1.565268  7.575242 90.85949 4.492930 0.7174030
## 1 1.412731  8.643004 89.94427 4.363074 0.7082541
## 3 3.391024 23.584629 73.02435 4.090408 0.8934769
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(values_likert, type="bar")

# bar plot ordered by question (not centered)
plot(values_likert, group.order = names(values_df), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(values_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(values_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(values_df)
##                                                                                                          vars
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*    1
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                    2
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                     3
##                                                                                                              n
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?* 85225
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                 85225
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                  85225
##                                                                                                          mean
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?* 4.36
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                 4.49
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                  4.09
##                                                                                                            sd
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?* 0.71
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                 0.72
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                  0.89
##                                                                                                          median
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*      4
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                      5
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                       4
##                                                                                                          trimmed
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*    4.47
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                    4.63
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                     4.16
##                                                                                                           mad
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?* 1.48
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                 0.00
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                  1.48
##                                                                                                          min
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*   1
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                   1
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                    1
##                                                                                                          max
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*   5
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                   5
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                    5
##                                                                                                          range
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*     4
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                     4
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                      4
##                                                                                                           skew
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?* -1.00
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                 -1.46
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                  -0.64
##                                                                                                          kurtosis
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*     1.10
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                     2.26
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                     -0.26
##                                                                                                          se
## Do colleagues in your immediate workgroup act in accordance with the APS Values in their everyday work?*  0
## Does your supervisor act in accordance with the APS Values in his or her everyday work?*                  0
## Do senior leaders (i.e. the SES) in your agency act in accordance with the APS Values?*                   0
# Descriptive statistics step 2
# org size analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
org_size <- data.frame(aps_reduced$org_size)
org_size_likert <- likert(org_size)
summary(org_size_likert)
##                   Item      low  neutral     high     mean        sd
## 1 aps_reduced.org_size 3.779407 9.647404 86.57319 2.827938 0.4669556
# density plot (treating Likert data like numeric data)
plot(org_size_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(org_size)
## Warning in psych::describe(org_size): You were trying to describe a non-numeric
## data.frame or vector which describe converted to numeric.
##    vars     n mean   sd median trimmed mad min max range  skew kurtosis se
## X1    1 85225 2.83 0.47      3    2.96   0   1   3     2 -2.76     6.84  0
# Descriptive statistics step 2
#employee level analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
employee_level <- data.frame(aps_reduced$employee_level)
employee_level_likert <- likert(employee_level)
summary(employee_level_likert)
##                         Item      low  neutral     high    mean        sd
## 1 aps_reduced.employee_level 2.702259 31.44852 65.84922 2.63147 0.5355038
# density plot (treating Likert data like numeric data)
plot(employee_level_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(employee_level)
## Warning in psych::describe(employee_level): You were trying to describe a non-
## numeric data.frame or vector which describe converted to numeric.
##    vars     n mean   sd median trimmed mad min max range  skew kurtosis se
## X1    1 85225 2.63 0.54      3     2.7   0   1   3     2 -1.07     0.08  0
# Descriptive statistics step 2
# team performance rating analysis

# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
team_performance_rating <- data.frame(aps_reduced$team_performance_rating)
team_performance_rating_likert <- likert(team_performance_rating)
summary(team_engagement_likert)
##                                                                                               Item
## 4 The people in my workgroup behave in an accepting manner towards people from diverse backgrounds
## 3                                     The people in my workgroup are committed to workplace safety
## 2                                         The people in my workgroup cooperate to get the job done
## 1                    The people in my workgroup are honest, open and transparent in their dealings
##        low   neutral     high     mean        sd
## 4 3.470813  7.585802 88.94339 4.201162 0.7645863
## 3 2.291581 10.806688 86.90173 4.121830 0.7093272
## 2 6.299795  9.898504 83.80170 4.059407 0.8473169
## 1 8.800235 12.463479 78.73629 3.947609 0.9250462
# density plot (treating Likert data like numeric data)
plot(team_performance_rating_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(team_performance_rating)
## Warning in psych::describe(team_performance_rating): You were trying to describe
## a non-numeric data.frame or vector which describe converted to numeric.
##    vars     n mean   sd median trimmed  mad min max range  skew kurtosis   se
## X1    1 85225 7.26 1.71      8     7.4 1.48   1  10     9 -0.94     1.04 0.01
# converting all variables to numerical 
# a- questions making up 11 data frames b- org_size and employee level c- dependent var

# a- converting questions making up 11 data frames to numeric
aps_reduced$job_engagement_1 <- as.numeric(aps_reduced$job_engagement_1)
aps_reduced$job_engagement_2 <- as.numeric(aps_reduced$job_engagement_2)
aps_reduced$job_engagement_3 <- as.numeric(aps_reduced$job_engagement_3)
aps_reduced$job_engagement_4 <- as.numeric(aps_reduced$job_engagement_4)
aps_reduced$job_engagement_5 <- as.numeric(aps_reduced$job_engagement_5)
aps_reduced$job_engagement_6 <- as.numeric(aps_reduced$job_engagement_6)
aps_reduced$job_engagement_7 <- as.numeric(aps_reduced$job_engagement_7)
aps_reduced$job_engagement_8 <- as.numeric(aps_reduced$job_engagement_8)
aps_reduced$job_engagement_9 <- as.numeric(aps_reduced$job_engagement_9)
aps_reduced$job_engagement_10 <- as.numeric(aps_reduced$job_engagement_10)

aps_reduced$team_engagement_1 <- as.numeric(aps_reduced$team_engagement_1)
aps_reduced$team_engagement_2 <- as.numeric(aps_reduced$team_engagement_2)
aps_reduced$team_engagement_3 <- as.numeric(aps_reduced$team_engagement_3)
aps_reduced$team_engagement_4 <- as.numeric(aps_reduced$team_engagement_4)

aps_reduced$supervisor_engagement_1 <- as.numeric(aps_reduced$supervisor_engagement_1)
aps_reduced$supervisor_engagement_2 <- as.numeric(aps_reduced$supervisor_engagement_2)
aps_reduced$supervisor_engagement_3 <- as.numeric(aps_reduced$supervisor_engagement_3)
aps_reduced$supervisor_engagement_4 <- as.numeric(aps_reduced$supervisor_engagement_4)
aps_reduced$supervisor_engagement_5 <- as.numeric(aps_reduced$supervisor_engagement_5)
aps_reduced$supervisor_engagement_6 <- as.numeric(aps_reduced$supervisor_engagement_6)
aps_reduced$supervisor_engagement_7 <- as.numeric(aps_reduced$supervisor_engagement_7)
aps_reduced$supervisor_engagement_8 <- as.numeric(aps_reduced$supervisor_engagement_8)
aps_reduced$supervisor_engagement_9 <- as.numeric(aps_reduced$supervisor_engagement_9)
aps_reduced$supervisor_engagement_10 <- as.numeric(aps_reduced$supervisor_engagement_10)
aps_reduced$supervisor_engagement_11 <- as.numeric(aps_reduced$supervisor_engagement_11)

aps_reduced$senior_manager_engagement_1 <- as.numeric(aps_reduced$senior_manager_engagement_1)
aps_reduced$senior_manager_engagement_2 <- as.numeric(aps_reduced$senior_manager_engagement_2)
aps_reduced$senior_manager_engagement_3 <- as.numeric(aps_reduced$senior_manager_engagement_3)
aps_reduced$senior_manager_engagement_4 <- as.numeric(aps_reduced$senior_manager_engagement_4)
aps_reduced$senior_manager_engagement_5 <- as.numeric(aps_reduced$senior_manager_engagement_5)
aps_reduced$senior_manager_engagement_6 <- as.numeric(aps_reduced$senior_manager_engagement_6)
aps_reduced$senior_manager_engagement_7 <- as.numeric(aps_reduced$senior_manager_engagement_7)
aps_reduced$senior_manager_engagement_8 <- as.numeric(aps_reduced$senior_manager_engagement_8)
aps_reduced$senior_manager_engagement_9 <- as.numeric(aps_reduced$senior_manager_engagement_9)
aps_reduced$senior_manager_engagement_10 <- as.numeric(aps_reduced$senior_manager_engagement_10)
aps_reduced$senior_manager_engagement_11 <- as.numeric(aps_reduced$senior_manager_engagement_11)
aps_reduced$senior_manager_engagement_12 <- as.numeric(aps_reduced$senior_manager_engagement_12)

aps_reduced$agency_engagement_1 <- as.numeric(aps_reduced$agency_engagement_1)
aps_reduced$agency_engagement_2 <- as.numeric(aps_reduced$agency_engagement_2)
aps_reduced$agency_engagement_3 <- as.numeric(aps_reduced$agency_engagement_3)
aps_reduced$agency_engagement_4 <- as.numeric(aps_reduced$agency_engagement_4)
aps_reduced$agency_engagement_5 <- as.numeric(aps_reduced$agency_engagement_5)
aps_reduced$agency_engagement_6 <- as.numeric(aps_reduced$agency_engagement_6)
aps_reduced$agency_engagement_7 <- as.numeric(aps_reduced$agency_engagement_7)
aps_reduced$agency_engagement_8 <- as.numeric(aps_reduced$agency_engagement_8)
aps_reduced$agency_engagement_9 <- as.numeric(aps_reduced$agency_engagement_9)
aps_reduced$agency_engagement_10 <- as.numeric(aps_reduced$agency_engagement_10)
aps_reduced$agency_engagement_11 <- as.numeric(aps_reduced$agency_engagement_11)
aps_reduced$agency_engagement_12 <- as.numeric(aps_reduced$agency_engagement_12)
aps_reduced$agency_engagement_13 <- as.numeric(aps_reduced$agency_engagement_13)
aps_reduced$agency_engagement_14 <- as.numeric(aps_reduced$agency_engagement_14)
aps_reduced$agency_engagement_15 <- as.numeric(aps_reduced$agency_engagement_15)
aps_reduced$agency_engagement_16 <- as.numeric(aps_reduced$agency_engagement_16)
aps_reduced$agency_engagement_17 <- as.numeric(aps_reduced$agency_engagement_17)

aps_reduced$team_performance_support_1 <- as.numeric(aps_reduced$team_performance_support_1)
aps_reduced$team_performance_support_2 <- as.numeric(aps_reduced$team_performance_support_2)
aps_reduced$team_performance_support_3 <- as.numeric(aps_reduced$team_performance_support_3)
aps_reduced$team_performance_support_4 <- as.numeric(aps_reduced$team_performance_support_4)

aps_reduced$risk_culture_1 <- as.numeric(aps_reduced$risk_culture_1)
aps_reduced$risk_culture_2 <- as.numeric(aps_reduced$risk_culture_2)
aps_reduced$risk_culture_3 <- as.numeric(aps_reduced$risk_culture_3)
aps_reduced$risk_culture_4 <- as.numeric(aps_reduced$risk_culture_4)
aps_reduced$risk_culture_5 <- as.numeric(aps_reduced$risk_culture_5)

aps_reduced$innovation_1 <- as.numeric(aps_reduced$innovation_1)
aps_reduced$innovation_2 <- as.numeric(aps_reduced$innovation_2)
aps_reduced$innovation_3 <- as.numeric(aps_reduced$innovation_3)
aps_reduced$innovation_4 <- as.numeric(aps_reduced$innovation_4)
aps_reduced$innovation_5 <- as.numeric(aps_reduced$innovation_5)

aps_reduced$leadership_engagement_1 <- as.numeric(aps_reduced$leadership_engagement_1)
aps_reduced$leadership_engagement_2 <- as.numeric(aps_reduced$leadership_engagement_2)
aps_reduced$leadership_engagement_3 <- as.numeric(aps_reduced$leadership_engagement_3)
aps_reduced$leadership_engagement_4 <- as.numeric(aps_reduced$leadership_engagement_4)
aps_reduced$leadership_engagement_5 <- as.numeric(aps_reduced$leadership_engagement_5)
aps_reduced$leadership_engagement_6 <- as.numeric(aps_reduced$leadership_engagement_6)
aps_reduced$leadership_engagement_7 <- as.numeric(aps_reduced$leadership_engagement_7)

aps_reduced$wellbeing_1 <- as.numeric(aps_reduced$wellbeing_1)
aps_reduced$wellbeing_2 <- as.numeric(aps_reduced$wellbeing_2)
aps_reduced$wellbeing_3 <- as.numeric(aps_reduced$wellbeing_3)
aps_reduced$wellbeing_4 <- as.numeric(aps_reduced$wellbeing_4)
aps_reduced$wellbeing_5 <- as.numeric(aps_reduced$wellbeing_5)
aps_reduced$wellbeing_6 <- as.numeric(aps_reduced$wellbeing_6)
aps_reduced$wellbeing_7 <- as.numeric(aps_reduced$wellbeing_7)
aps_reduced$wellbeing_8 <- as.numeric(aps_reduced$wellbeing_8)
aps_reduced$wellbeing_9 <- as.numeric(aps_reduced$wellbeing_9)
aps_reduced$wellbeing_10 <- as.numeric(aps_reduced$wellbeing_10)
aps_reduced$wellbeing_11 <- as.numeric(aps_reduced$wellbeing_11)
aps_reduced$wellbeing_12 <- as.numeric(aps_reduced$wellbeing_12)
aps_reduced$wellbeing_13 <- as.numeric(aps_reduced$wellbeing_13)

aps_reduced$values_1 <- as.numeric(aps_reduced$values_1)
aps_reduced$values_2 <- as.numeric(aps_reduced$values_2)
aps_reduced$values_3 <- as.numeric(aps_reduced$values_3)

# b- converting org_size and employee level to numeric - to perform correlation analysis
aps_reduced$org_size <- as.numeric(aps_reduced$org_size)
aps_reduced$employee_level <- as.numeric(aps_reduced$employee_level)

# c- converting dependent var (team_performance_rating) to numeric
aps_reduced$team_performance_rating <- as.numeric(aps_reduced$team_performance_rating)


# checking that changes were successful
summary(aps_reduced)
##     org_size     employee_level  job_engagement_1 job_engagement_2
##  Min.   :1.000   Min.   :1.000   Min.   :1.000    Min.   :1.000   
##  1st Qu.:3.000   1st Qu.:2.000   1st Qu.:4.000    1st Qu.:3.000   
##  Median :3.000   Median :3.000   Median :4.000    Median :4.000   
##  Mean   :2.828   Mean   :2.631   Mean   :3.921    Mean   :3.757   
##  3rd Qu.:3.000   3rd Qu.:3.000   3rd Qu.:4.000    3rd Qu.:4.000   
##  Max.   :3.000   Max.   :3.000   Max.   :5.000    Max.   :5.000   
##  job_engagement_3 job_engagement_4 job_engagement_5 job_engagement_6
##  Min.   :1.000    Min.   :1.00     Min.   :1.000    Min.   :1.000   
##  1st Qu.:3.000    1st Qu.:3.00     1st Qu.:4.000    1st Qu.:3.000   
##  Median :4.000    Median :4.00     Median :4.000    Median :4.000   
##  Mean   :3.493    Mean   :3.46     Mean   :3.883    Mean   :3.708   
##  3rd Qu.:4.000    3rd Qu.:4.00     3rd Qu.:4.000    3rd Qu.:4.000   
##  Max.   :5.000    Max.   :5.00     Max.   :5.000    Max.   :5.000   
##  job_engagement_7 job_engagement_8 job_engagement_9 job_engagement_10
##  Min.   :1.000    Min.   :1.000    Min.   :1.000    Min.   :1.000    
##  1st Qu.:4.000    1st Qu.:4.000    1st Qu.:3.000    1st Qu.:4.000    
##  Median :4.000    Median :4.000    Median :4.000    Median :4.000    
##  Mean   :4.041    Mean   :4.258    Mean   :3.697    Mean   :4.007    
##  3rd Qu.:4.000    3rd Qu.:5.000    3rd Qu.:4.000    3rd Qu.:5.000    
##  Max.   :5.000    Max.   :5.000    Max.   :5.000    Max.   :5.000    
##  team_engagement_1 team_engagement_2 team_engagement_3 team_engagement_4
##  Min.   :1.000     Min.   :1.000     Min.   :1.000     Min.   :1.000    
##  1st Qu.:4.000     1st Qu.:4.000     1st Qu.:4.000     1st Qu.:4.000    
##  Median :4.000     Median :4.000     Median :4.000     Median :4.000    
##  Mean   :3.948     Mean   :4.059     Mean   :4.122     Mean   :4.201    
##  3rd Qu.:5.000     3rd Qu.:5.000     3rd Qu.:5.000     3rd Qu.:5.000    
##  Max.   :5.000     Max.   :5.000     Max.   :5.000     Max.   :5.000    
##  supervisor_engagement_1 supervisor_engagement_2 supervisor_engagement_3
##  Min.   :1.000           Min.   :1.000           Min.   :1.000          
##  1st Qu.:4.000           1st Qu.:4.000           1st Qu.:4.000          
##  Median :4.000           Median :4.000           Median :4.000          
##  Mean   :4.216           Mean   :4.238           Mean   :4.238          
##  3rd Qu.:5.000           3rd Qu.:5.000           3rd Qu.:5.000          
##  Max.   :5.000           Max.   :5.000           Max.   :5.000          
##  supervisor_engagement_4 supervisor_engagement_5 supervisor_engagement_6
##  Min.   :1.000           Min.   :1.000           Min.   :1.000          
##  1st Qu.:4.000           1st Qu.:4.000           1st Qu.:4.000          
##  Median :4.000           Median :4.000           Median :4.000          
##  Mean   :4.134           Mean   :4.006           Mean   :4.056          
##  3rd Qu.:5.000           3rd Qu.:5.000           3rd Qu.:5.000          
##  Max.   :5.000           Max.   :5.000           Max.   :5.000          
##  supervisor_engagement_7 supervisor_engagement_8 supervisor_engagement_9
##  Min.   :1.000           Min.   :1.000           Min.   :1.000          
##  1st Qu.:4.000           1st Qu.:4.000           1st Qu.:4.000          
##  Median :4.000           Median :4.000           Median :4.000          
##  Mean   :4.052           Mean   :4.126           Mean   :4.156          
##  3rd Qu.:5.000           3rd Qu.:5.000           3rd Qu.:5.000          
##  Max.   :5.000           Max.   :5.000           Max.   :5.000          
##  supervisor_engagement_10 supervisor_engagement_11 senior_manager_engagement_1
##  Min.   :1.000            Min.   :1.000            Min.   :1.000              
##  1st Qu.:3.000            1st Qu.:4.000            1st Qu.:3.000              
##  Median :4.000            Median :4.000            Median :4.000              
##  Mean   :3.928            Mean   :4.137            Mean   :3.798              
##  3rd Qu.:5.000            3rd Qu.:5.000            3rd Qu.:4.000              
##  Max.   :5.000            Max.   :5.000            Max.   :5.000              
##  senior_manager_engagement_2 senior_manager_engagement_3
##  Min.   :1.000               Min.   :1.000              
##  1st Qu.:3.000               1st Qu.:3.000              
##  Median :4.000               Median :4.000              
##  Mean   :3.682               Mean   :3.693              
##  3rd Qu.:4.000               3rd Qu.:4.000              
##  Max.   :5.000               Max.   :5.000              
##  senior_manager_engagement_4 senior_manager_engagement_5
##  Min.   :1.000               Min.   :1.000              
##  1st Qu.:3.000               1st Qu.:3.000              
##  Median :4.000               Median :3.000              
##  Mean   :3.627               Mean   :3.389              
##  3rd Qu.:4.000               3rd Qu.:4.000              
##  Max.   :5.000               Max.   :5.000              
##  senior_manager_engagement_6 senior_manager_engagement_7
##  Min.   :1.000               Min.   :1.000              
##  1st Qu.:3.000               1st Qu.:3.000              
##  Median :4.000               Median :4.000              
##  Mean   :3.777               Mean   :3.607              
##  3rd Qu.:4.000               3rd Qu.:4.000              
##  Max.   :5.000               Max.   :5.000              
##  senior_manager_engagement_8 senior_manager_engagement_9
##  Min.   :1.000               Min.   :1.000              
##  1st Qu.:3.000               1st Qu.:3.000              
##  Median :4.000               Median :4.000              
##  Mean   :3.679               Mean   :3.856              
##  3rd Qu.:4.000               3rd Qu.:4.000              
##  Max.   :5.000               Max.   :5.000              
##  senior_manager_engagement_10 senior_manager_engagement_11
##  Min.   :1.000                Min.   :1.000               
##  1st Qu.:3.000                1st Qu.:3.000               
##  Median :4.000                Median :4.000               
##  Mean   :3.832                Mean   :3.737               
##  3rd Qu.:5.000                3rd Qu.:4.000               
##  Max.   :5.000                Max.   :5.000               
##  senior_manager_engagement_12 leadership_engagement_1 leadership_engagement_2
##  Min.   :1.000                Min.   :1.000           Min.   :1.000          
##  1st Qu.:3.000                1st Qu.:3.000           1st Qu.:3.000          
##  Median :4.000                Median :4.000           Median :3.000          
##  Mean   :3.668                Mean   :3.342           Mean   :3.239          
##  3rd Qu.:4.000                3rd Qu.:4.000           3rd Qu.:4.000          
##  Max.   :5.000                Max.   :5.000           Max.   :5.000          
##  leadership_engagement_3 leadership_engagement_4 leadership_engagement_5
##  Min.   :1.000           Min.   :1.000           Min.   :1.000          
##  1st Qu.:3.000           1st Qu.:3.000           1st Qu.:3.000          
##  Median :4.000           Median :4.000           Median :4.000          
##  Mean   :3.549           Mean   :3.444           Mean   :3.418          
##  3rd Qu.:4.000           3rd Qu.:4.000           3rd Qu.:4.000          
##  Max.   :5.000           Max.   :5.000           Max.   :5.000          
##  leadership_engagement_6 leadership_engagement_7 agency_engagement_1
##  Min.   :1.000           Min.   :1.000           Min.   :1.000      
##  1st Qu.:3.000           1st Qu.:3.000           1st Qu.:3.000      
##  Median :3.000           Median :4.000           Median :4.000      
##  Mean   :3.277           Mean   :3.458           Mean   :3.684      
##  3rd Qu.:4.000           3rd Qu.:4.000           3rd Qu.:4.000      
##  Max.   :5.000           Max.   :5.000           Max.   :5.000      
##  agency_engagement_2 agency_engagement_3 agency_engagement_4
##  Min.   :1.000       Min.   :1.000       Min.   :1.000      
##  1st Qu.:3.000       1st Qu.:2.000       1st Qu.:2.000      
##  Median :4.000       Median :3.000       Median :3.000      
##  Mean   :3.857       Mean   :3.008       Mean   :3.188      
##  3rd Qu.:4.000       3rd Qu.:4.000       3rd Qu.:4.000      
##  Max.   :5.000       Max.   :5.000       Max.   :5.000      
##  agency_engagement_5 agency_engagement_6 agency_engagement_7
##  Min.   :1.000       Min.   :1.000       Min.   :1.000      
##  1st Qu.:3.000       1st Qu.:2.000       1st Qu.:3.000      
##  Median :4.000       Median :3.000       Median :4.000      
##  Mean   :3.539       Mean   :3.001       Mean   :3.571      
##  3rd Qu.:4.000       3rd Qu.:4.000       3rd Qu.:4.000      
##  Max.   :5.000       Max.   :5.000       Max.   :5.000      
##  agency_engagement_8 agency_engagement_9 agency_engagement_10
##  Min.   :1.000       Min.   :1.000       Min.   :1.000       
##  1st Qu.:4.000       1st Qu.:4.000       1st Qu.:4.000       
##  Median :4.000       Median :4.000       Median :4.000       
##  Mean   :3.953       Mean   :3.967       Mean   :3.974       
##  3rd Qu.:5.000       3rd Qu.:5.000       3rd Qu.:5.000       
##  Max.   :5.000       Max.   :5.000       Max.   :5.000       
##  agency_engagement_11 agency_engagement_12 agency_engagement_13
##  Min.   :1.000        Min.   :1.000        Min.   :1.000       
##  1st Qu.:3.000        1st Qu.:4.000        1st Qu.:4.000       
##  Median :4.000        Median :4.000        Median :4.000       
##  Mean   :3.734        Mean   :3.841        Mean   :3.984       
##  3rd Qu.:4.000        3rd Qu.:4.000        3rd Qu.:4.000       
##  Max.   :5.000        Max.   :5.000        Max.   :5.000       
##  agency_engagement_14 agency_engagement_15 agency_engagement_16
##  Min.   :1.000        Min.   :1.000        Min.   :1.000       
##  1st Qu.:3.000        1st Qu.:2.000        1st Qu.:4.000       
##  Median :4.000        Median :3.000        Median :4.000       
##  Mean   :3.426        Mean   :3.165        Mean   :3.886       
##  3rd Qu.:4.000        3rd Qu.:4.000        3rd Qu.:4.000       
##  Max.   :5.000        Max.   :5.000        Max.   :5.000       
##  agency_engagement_17  wellbeing_1     wellbeing_2     wellbeing_3   
##  Min.   :1.000        Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000        1st Qu.:3.000   1st Qu.:2.000   1st Qu.:3.000  
##  Median :4.000        Median :4.000   Median :3.000   Median :4.000  
##  Mean   :3.398        Mean   :3.818   Mean   :2.994   Mean   :3.539  
##  3rd Qu.:4.000        3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :5.000        Max.   :5.000   Max.   :5.000   Max.   :5.000  
##   wellbeing_4     wellbeing_5     wellbeing_6     wellbeing_7   
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:4.000   1st Qu.:3.000   1st Qu.:4.000  
##  Median :4.000   Median :4.000   Median :4.000   Median :4.000  
##  Mean   :3.941   Mean   :4.008   Mean   :3.471   Mean   :4.102  
##  3rd Qu.:5.000   3rd Qu.:5.000   3rd Qu.:4.000   3rd Qu.:5.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##   wellbeing_8     wellbeing_9     wellbeing_10    wellbeing_11  
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:3.000   1st Qu.:3.000   1st Qu.:3.000  
##  Median :3.000   Median :4.000   Median :4.000   Median :4.000  
##  Mean   :3.354   Mean   :3.704   Mean   :3.541   Mean   :3.524  
##  3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##   wellbeing_12    wellbeing_13   risk_culture_1  risk_culture_2 
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:4.000   1st Qu.:3.000   1st Qu.:3.000  
##  Median :4.000   Median :4.000   Median :4.000   Median :4.000  
##  Mean   :3.453   Mean   :4.076   Mean   :3.781   Mean   :3.628  
##  3rd Qu.:4.000   3rd Qu.:5.000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##  risk_culture_3  risk_culture_4  risk_culture_5   innovation_1  
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:3.000   1st Qu.:3.000   1st Qu.:4.000  
##  Median :4.000   Median :3.000   Median :3.000   Median :4.000  
##  Mean   :3.494   Mean   :3.052   Mean   :3.172   Mean   :4.059  
##  3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:5.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##   innovation_2    innovation_3    innovation_4    innovation_5  
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:3.000   1st Qu.:3.000   1st Qu.:3.000  
##  Median :4.000   Median :4.000   Median :3.000   Median :3.000  
##  Mean   :3.777   Mean   :3.534   Mean   :3.327   Mean   :3.118  
##  3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##  team_performance_rating team_performance_support_1 team_performance_support_2
##  Min.   : 1.000          Min.   :1.000              Min.   :1.000             
##  1st Qu.: 6.000          1st Qu.:3.000              1st Qu.:2.000             
##  Median : 8.000          Median :4.000              Median :4.000             
##  Mean   : 7.259          Mean   :3.482              Mean   :3.299             
##  3rd Qu.: 8.000          3rd Qu.:4.000              3rd Qu.:4.000             
##  Max.   :10.000          Max.   :5.000              Max.   :5.000             
##  team_performance_support_3 team_performance_support_4    values_1    
##  Min.   :1.000              Min.   :1.000              Min.   :1.000  
##  1st Qu.:4.000              1st Qu.:4.000              1st Qu.:4.000  
##  Median :4.000              Median :4.000              Median :4.000  
##  Mean   :3.943              Mean   :3.968              Mean   :4.363  
##  3rd Qu.:4.000              3rd Qu.:4.000              3rd Qu.:5.000  
##  Max.   :5.000              Max.   :5.000              Max.   :5.000  
##     values_2        values_3    number_skipped_questions
##  Min.   :1.000   Min.   :1.00   Min.   :0.0000          
##  1st Qu.:4.000   1st Qu.:3.00   1st Qu.:0.0000          
##  Median :5.000   Median :4.00   Median :0.0000          
##  Mean   :4.493   Mean   :4.09   Mean   :0.1654          
##  3rd Qu.:5.000   3rd Qu.:5.00   3rd Qu.:0.0000          
##  Max.   :5.000   Max.   :5.00   Max.   :3.0000
str(aps_reduced)
## 'data.frame':    85225 obs. of  95 variables:
##  $ org_size                    : num  1 3 3 3 3 2 2 3 3 3 ...
##  $ employee_level              : num  3 3 3 3 2 2 3 2 3 3 ...
##  $ job_engagement_1            : num  2 5 4 4 5 4 2 5 4 4 ...
##  $ job_engagement_2            : num  2 4 5 4 4 3 2 5 3 2 ...
##  $ job_engagement_3            : num  3 4 5 4 4 3 4 5 3 3 ...
##  $ job_engagement_4            : num  3 4 5 4 4 5 4 5 2 3 ...
##  $ job_engagement_5            : num  3 4 5 4 4 4 5 5 3 4 ...
##  $ job_engagement_6            : num  2 4 4 3 4 2 5 4 1 2 ...
##  $ job_engagement_7            : num  3 4 5 4 3 4 4 4 4 4 ...
##  $ job_engagement_8            : num  5 4 5 4 5 4 4 5 5 4 ...
##  $ job_engagement_9            : num  2 4 4 4 4 3 4 5 4 2 ...
##  $ job_engagement_10           : num  3 4 5 4 5 4 4 5 4 2 ...
##  $ team_engagement_1           : num  4 4 4 4 4 5 5 5 4 3 ...
##  $ team_engagement_2           : num  4 4 4 4 4 5 5 4 3 2 ...
##  $ team_engagement_3           : num  4 4 5 4 4 5 5 4 4 4 ...
##  $ team_engagement_4           : num  4 4 4 4 4 4 5 4 4 4 ...
##  $ supervisor_engagement_1     : num  5 3 5 4 5 5 5 5 4 4 ...
##  $ supervisor_engagement_2     : num  5 4 5 4 5 5 5 5 3 4 ...
##  $ supervisor_engagement_3     : num  5 4 5 4 5 5 5 5 3 4 ...
##  $ supervisor_engagement_4     : num  3 4 5 4 5 5 5 5 1 5 ...
##  $ supervisor_engagement_5     : num  4 4 5 4 5 4 5 5 2 4 ...
##  $ supervisor_engagement_6     : num  3 4 5 4 5 4 5 5 2 4 ...
##  $ supervisor_engagement_7     : num  3 4 5 4 5 4 5 5 2 4 ...
##  $ supervisor_engagement_8     : num  4 4 5 5 5 5 5 5 4 5 ...
##  $ supervisor_engagement_9     : num  4 4 4 5 3 3 5 5 5 5 ...
##  $ supervisor_engagement_10    : num  3 4 4 5 4 5 5 5 1 5 ...
##  $ supervisor_engagement_11    : num  4 5 5 5 5 5 5 5 1 5 ...
##  $ senior_manager_engagement_1 : num  4 4 2 3 4 5 3 5 2 4 ...
##  $ senior_manager_engagement_2 : num  3 4 3 3 4 3 2 5 1 4 ...
##  $ senior_manager_engagement_3 : num  3 4 2 3 4 4 3 5 2 4 ...
##  $ senior_manager_engagement_4 : num  3 3 3 3 4 4 2 5 1 4 ...
##  $ senior_manager_engagement_5 : num  2 3 2 3 4 2 1 5 1 3 ...
##  $ senior_manager_engagement_6 : num  3 4 3 3 4 4 2 5 2 4 ...
##  $ senior_manager_engagement_7 : num  3 4 2 3 4 4 2 5 2 4 ...
##  $ senior_manager_engagement_8 : num  3 4 3 3 4 4 2 5 1 3 ...
##  $ senior_manager_engagement_9 : num  3 3 3 3 3 4 3 5 4 4 ...
##  $ senior_manager_engagement_10: num  3 4 3 3 3 5 3 5 3 4 ...
##  $ senior_manager_engagement_11: num  1 4 3 3 3 4 4 5 1 4 ...
##  $ senior_manager_engagement_12: num  3 3 3 3 4 4 3 5 2 4 ...
##  $ leadership_engagement_1     : num  4 3 4 3 4 4 4 4 1 3 ...
##  $ leadership_engagement_2     : num  3 4 2 3 4 5 3 4 1 3 ...
##  $ leadership_engagement_3     : num  4 4 3 3 4 4 4 4 1 3 ...
##  $ leadership_engagement_4     : num  3 4 2 3 4 5 4 4 3 3 ...
##  $ leadership_engagement_5     : num  4 4 2 3 4 4 3 4 3 3 ...
##  $ leadership_engagement_6     : num  3 3 4 3 3 4 2 4 3 3 ...
##  $ leadership_engagement_7     : num  3 4 1 3 4 4 4 4 1 3 ...
##  $ agency_engagement_1         : num  2 4 4 4 4 2 4 4 5 2 ...
##  $ agency_engagement_2         : num  2 4 4 4 4 3 4 5 2 2 ...
##  $ agency_engagement_3         : num  4 4 2 4 3 5 3 4 1 1 ...
##  $ agency_engagement_4         : num  4 4 2 4 3 4 2 4 1 2 ...
##  $ agency_engagement_5         : num  3 4 3 4 4 3 4 4 2 2 ...
##  $ agency_engagement_6         : num  1 4 2 2 3 2 2 4 1 2 ...
##  $ agency_engagement_7         : num  2 4 3 4 4 3 4 4 1 2 ...
##  $ agency_engagement_8         : num  4 4 4 4 5 5 4 4 4 4 ...
##  $ agency_engagement_9         : num  4 4 5 4 4 5 4 4 4 4 ...
##  $ agency_engagement_10        : num  3 4 4 4 4 4 5 4 3 4 ...
##  $ agency_engagement_11        : num  4 4 4 4 3 4 4 4 1 3 ...
##  $ agency_engagement_12        : num  4 4 3 4 4 4 4 4 1 4 ...
##  $ agency_engagement_13        : num  3 4 3 4 3 4 4 4 5 4 ...
##  $ agency_engagement_14        : num  4 4 4 4 4 3 4 4 5 2 ...
##  $ agency_engagement_15        : num  3 4 3 4 4 3 4 4 1 2 ...
##  $ agency_engagement_16        : num  4 4 4 4 4 3 4 4 3 4 ...
##  $ agency_engagement_17        : num  3 4 2 4 3 3 3 4 1 2 ...
##  $ wellbeing_1                 : num  4 5 5 4 4 5 4 5 2 4 ...
##  $ wellbeing_2                 : num  4 4 3 4 3 4 2 4 2 4 ...
##  $ wellbeing_3                 : num  4 4 5 5 4 5 3 4 4 4 ...
##  $ wellbeing_4                 : num  1 4 5 5 4 4 4 4 1 4 ...
##  $ wellbeing_5                 : num  5 4 4 5 4 4 5 4 3 3 ...
##  $ wellbeing_6                 : num  4 3 4 4 4 4 3 4 2 3 ...
##  $ wellbeing_7                 : num  5 4 4 5 4 4 3 4 3 4 ...
##  $ wellbeing_8                 : num  4 4 3 5 3 5 2 4 2 3 ...
##  $ wellbeing_9                 : num  4 4 5 4 4 5 4 4 2 4 ...
##  $ wellbeing_10                : num  4 4 5 4 3 5 4 4 2 4 ...
##  $ wellbeing_11                : num  4 4 5 4 3 5 4 4 2 4 ...
##  $ wellbeing_12                : num  4 4 4 4 3 5 4 4 1 4 ...
##  $ wellbeing_13                : num  4 5 5 4 4 4 5 4 4 4 ...
##  $ risk_culture_1              : num  3 5 2 4 4 4 4 4 3 4 ...
##  $ risk_culture_2              : num  3 5 2 4 3 5 4 4 3 4 ...
##  $ risk_culture_3              : num  3 5 3 4 3 4 3 4 2 4 ...
##  $ risk_culture_4              : num  3 3 2 4 4 3 2 4 3 3 ...
##  $ risk_culture_5              : num  3 4 3 4 3 4 2 4 3 3 ...
##  $ innovation_1                : num  4 4 4 4 4 5 2 4 1 4 ...
##  $ innovation_2                : num  1 4 4 4 4 4 4 4 3 4 ...
##  $ innovation_3                : num  4 4 4 4 4 4 2 3 1 3 ...
##  $ innovation_4                : num  3 5 4 4 4 4 2 3 2 3 ...
##  $ innovation_5                : num  3 5 5 4 3 4 2 3 3 3 ...
##  $ team_performance_rating     : num  8 8 8 9 6 7 9 7 2 3 ...
##  $ team_performance_support_1  : num  2 4 3 4 4 4 2 4 2 2 ...
##  $ team_performance_support_2  : num  2 5 3 4 3 4 1 4 5 1 ...
##  $ team_performance_support_3  : num  5 4 3 4 4 3 5 4 4 2 ...
##  $ team_performance_support_4  : num  4 5 4 4 4 4 4 4 3 4 ...
##  $ values_1                    : num  5 5 3 5 5 5 5 4 4 3 ...
##  $ values_2                    : num  5 5 4 5 5 5 5 5 4 4 ...
##  $ values_3                    : num  5 5 3 3 5 5 4 4 4 3 ...
##  $ number_skipped_questions    : num  0 0 0 0 1 1 0 0 0 0 ...
# developing the scales - using the 11 data frames created earlier 

job_engagement_df <- data.frame(aps_reduced$job_engagement_1, aps_reduced$job_engagement_2, aps_reduced$job_engagement_3, aps_reduced$job_engagement_4, aps_reduced$job_engagement_5, aps_reduced$job_engagement_6, aps_reduced$job_engagement_7, aps_reduced$job_engagement_8, aps_reduced$job_engagement_9, aps_reduced$job_engagement_10)
job_engagement <- rowMeans(job_engagement_df)
summary(job_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.500   3.900   3.822   4.200   5.000
team_engagement_df <- data.frame(aps_reduced$team_engagement_1, aps_reduced$team_engagement_2, aps_reduced$team_engagement_3, aps_reduced$team_engagement_4)
team_engagement <- rowMeans(team_engagement_df)
summary(team_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.750   4.000   4.083   4.500   5.000
supervisor_engagement_df <- data.frame(aps_reduced$supervisor_engagement_1, aps_reduced$supervisor_engagement_2, aps_reduced$supervisor_engagement_3, aps_reduced$supervisor_engagement_4, aps_reduced$supervisor_engagement_5, aps_reduced$supervisor_engagement_6, aps_reduced$supervisor_engagement_7, aps_reduced$supervisor_engagement_8, aps_reduced$supervisor_engagement_9, aps_reduced$supervisor_engagement_10, aps_reduced$supervisor_engagement_11)
supervisor_engagement <- rowMeans(supervisor_engagement_df)
summary(supervisor_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.818   4.000   4.117   4.818   5.000
senior_manager_engagement_df <- data.frame(aps_reduced$senior_manager_engagement_1, aps_reduced$senior_manager_engagement_2, aps_reduced$senior_manager_engagement_3, aps_reduced$senior_manager_engagement_4, aps_reduced$senior_manager_engagement_5, aps_reduced$senior_manager_engagement_6, aps_reduced$senior_manager_engagement_7, aps_reduced$senior_manager_engagement_8, aps_reduced$senior_manager_engagement_9, aps_reduced$senior_manager_engagement_10, aps_reduced$senior_manager_engagement_11, aps_reduced$senior_manager_engagement_12)
senior_manager_engagement <- rowMeans(senior_manager_engagement_df)
summary(senior_manager_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.083   3.833   3.695   4.250   5.000
agency_engagement_df <- data.frame(aps_reduced$agency_engagement_1, aps_reduced$agency_engagement_2, aps_reduced$agency_engagement_3, aps_reduced$agency_engagement_4, aps_reduced$agency_engagement_5, aps_reduced$agency_engagement_6, aps_reduced$agency_engagement_7, aps_reduced$agency_engagement_8, aps_reduced$agency_engagement_9, aps_reduced$agency_engagement_10, aps_reduced$agency_engagement_11, aps_reduced$agency_engagement_12, aps_reduced$agency_engagement_13, aps_reduced$agency_engagement_14, aps_reduced$agency_engagement_15, aps_reduced$agency_engagement_16, aps_reduced$agency_engagement_17)
agency_engagement <- rowMeans(agency_engagement_df)
summary(agency_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.176   3.647   3.599   4.000   5.000
team_performance_support_df <- data.frame(aps_reduced$team_performance_support_1, aps_reduced$team_performance_support_2, aps_reduced$team_performance_support_3, aps_reduced$team_performance_support_4)
team_performance_support <- rowMeans(team_performance_support_df)
summary(team_performance_support)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.250   3.750   3.673   4.000   5.000
risk_culture_df <- data.frame(aps_reduced$risk_culture_1, aps_reduced$risk_culture_2, aps_reduced$risk_culture_3, aps_reduced$risk_culture_4, aps_reduced$risk_culture_5)
risk_culture <- rowMeans(risk_culture_df)
summary(risk_culture)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.000   3.400   3.426   4.000   5.000
innovation_df <- data.frame(aps_reduced$innovation_1, aps_reduced$innovation_2, aps_reduced$innovation_3, aps_reduced$innovation_4, aps_reduced$innovation_5)
innovation <- rowMeans(innovation_df)
summary(innovation)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.200   3.600   3.563   4.000   5.000
leadership_engagement_df <- data.frame(aps_reduced$leadership_engagement_1, aps_reduced$leadership_engagement_2, aps_reduced$leadership_engagement_3, aps_reduced$leadership_engagement_4, aps_reduced$leadership_engagement_5, aps_reduced$leadership_engagement_6, aps_reduced$leadership_engagement_7)
leadership_engagement <- rowMeans(leadership_engagement_df)
summary(leadership_engagement)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.000   3.429   3.390   4.000   5.000
wellbeing_df <- data.frame(aps_reduced$wellbeing_1, aps_reduced$wellbeing_2, aps_reduced$wellbeing_3, aps_reduced$wellbeing_4, aps_reduced$wellbeing_5, aps_reduced$wellbeing_6, aps_reduced$wellbeing_7, aps_reduced$wellbeing_8, aps_reduced$wellbeing_9, aps_reduced$wellbeing_10, aps_reduced$wellbeing_11, aps_reduced$wellbeing_12, aps_reduced$wellbeing_13)
wellbeing <- rowMeans(wellbeing_df)
summary(wellbeing)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   3.308   3.692   3.656   4.077   5.000
values_df <- data.frame(aps_reduced$values_1, aps_reduced$values_2, aps_reduced$values_3)
values <- rowMeans(values_df)
summary(values)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   1.000   4.000   4.333   4.315   5.000   5.000
# new data frame with the 11 new scales, org_size, employee_level and dependant var
# this data frame (aps_with_scales) will be used for (numeric) regression analysis

# assigning the below 3 variables to unique variables - separate from aps_reduced data frame
org_size <- aps_reduced$org_size
employee_level <- aps_reduced$employee_level
team_performance_rating <- aps_reduced$team_performance_rating

aps_with_scales <- data.frame(org_size, employee_level, job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, agency_engagement, team_performance_support, risk_culture, innovation, leadership_engagement, wellbeing, values, team_performance_rating)
str(aps_with_scales)
## 'data.frame':    85225 obs. of  14 variables:
##  $ org_size                 : num  1 3 3 3 3 2 2 3 3 3 ...
##  $ employee_level           : num  3 3 3 3 2 2 3 2 3 3 ...
##  $ job_engagement           : num  2.8 4.1 4.7 3.9 4.2 3.6 3.8 4.8 3.3 3 ...
##  $ team_engagement          : num  4 4 4.25 4 4 4.75 5 4.25 3.75 3.25 ...
##  $ supervisor_engagement    : num  3.91 4 4.82 4.36 4.73 ...
##  $ senior_manager_engagement: num  2.83 3.67 2.67 3 3.75 ...
##  $ agency_engagement        : num  3.18 4 3.29 3.88 3.71 ...
##  $ team_performance_support : num  3.25 4.5 3.25 4 3.75 3.75 3 4 3.5 2.25 ...
##  $ risk_culture             : num  3 4.4 2.4 4 3.4 4 3 4 2.8 3.6 ...
##  $ innovation               : num  3 4.4 4.2 4 3.8 4.2 2.4 3.4 2 3.4 ...
##  $ leadership_engagement    : num  3.43 3.71 2.57 3 3.86 ...
##  $ wellbeing                : num  3.92 4.08 4.38 4.38 3.62 ...
##  $ values                   : num  5 5 3.33 4.33 5 ...
##  $ team_performance_rating  : num  8 8 8 9 6 7 9 7 2 3 ...
# Visualizing 11 new scales vs. dependent variable

# step 1: converting 11 new scales and dep var to factors for use with likert functions
job_engagement_f <- as.factor(round(job_engagement))
team_engagement_f <- as.factor(round(team_engagement))
supervisor_engagement_f <- as.factor(round(supervisor_engagement))
senior_manager_engagement_f <- as.factor(round(senior_manager_engagement))
agency_engagement_f <- as.factor(round(agency_engagement))
team_performance_support_f <- as.factor(round(team_performance_support))
risk_culture_f <- as.factor(round(risk_culture))
innovation_f <- as.factor(round(innovation))
leadership_engagement_f <- as.factor(round(leadership_engagement))
wellbeing_f <- as.factor(round(wellbeing))
values_f <- as.factor(round(values))

# transforming team_performance_rating to 5 point scale to visualize vs. other questions 
# using likert functions 
team_performance_rating_5scale <- mgsub(aps_reduced$team_performance_rating, c(1,2,3,4,5,6,7,8,9,10), c(1,1,2,2,3,3,4,4,5,5))
str(team_performance_rating_5scale)
##  chr [1:85225] "4" "4" "4" "5" "3" "4" "5" "4" "1" "2" "3" "2" "3" "4" "4" ...
team_performance_rating_5scale <- as.numeric(team_performance_rating_5scale)
str(team_performance_rating_5scale)
##  num [1:85225] 4 4 4 5 3 4 5 4 1 2 ...
team_performance_rating_5scale_f <- as.factor(team_performance_rating_5scale)

# Data frame to be used for likert visualizations 
aps_with_scales_factors_excl_depVar <- data.frame(job_engagement_f, team_engagement_f, supervisor_engagement_f, senior_manager_engagement_f, agency_engagement_f, team_performance_support_f, risk_culture_f, innovation_f, leadership_engagement_f, wellbeing_f, values_f)

aps_with_scales_factors <- data.frame(job_engagement_f, team_engagement_f, supervisor_engagement_f, senior_manager_engagement_f, agency_engagement_f, team_performance_support_f, risk_culture_f, innovation_f, leadership_engagement_f, wellbeing_f, values_f, team_performance_rating_5scale_f)
str(aps_with_scales_factors)
## 'data.frame':    85225 obs. of  12 variables:
##  $ job_engagement_f                : Factor w/ 5 levels "1","2","3","4",..: 3 4 5 4 4 4 4 5 3 3 ...
##  $ team_engagement_f               : Factor w/ 5 levels "1","2","3","4",..: 4 4 4 4 4 5 5 4 4 3 ...
##  $ supervisor_engagement_f         : Factor w/ 5 levels "1","2","3","4",..: 4 4 5 4 5 5 5 5 3 4 ...
##  $ senior_manager_engagement_f     : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 3 4 4 2 5 2 4 ...
##  $ agency_engagement_f             : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 4 4 4 4 4 2 3 ...
##  $ team_performance_support_f      : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 4 4 4 3 4 4 2 ...
##  $ risk_culture_f                  : Factor w/ 5 levels "1","2","3","4",..: 3 4 2 4 3 4 3 4 3 4 ...
##  $ innovation_f                    : Factor w/ 5 levels "1","2","3","4",..: 3 4 4 4 4 4 2 3 2 3 ...
##  $ leadership_engagement_f         : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 3 4 4 3 4 2 3 ...
##  $ wellbeing_f                     : Factor w/ 5 levels "1","2","3","4",..: 4 4 4 4 4 5 4 4 2 4 ...
##  $ values_f                        : Factor w/ 5 levels "1","2","3","4",..: 5 5 3 4 5 5 5 4 4 3 ...
##  $ team_performance_rating_5scale_f: Factor w/ 5 levels "1","2","3","4",..: 4 4 4 5 3 4 5 4 1 2 ...
# summary of low scores (strongly disagree + disagree), neutral (neither agree nor disagree)
# high (strongly agree + agree) and mean and sd
aps_with_scales_factors_likert <- likert(aps_with_scales_factors)
summary(aps_with_scales_factors_likert)
##                                Item        low   neutral     high     mean
## 11                         values_f  0.9304781  8.691112 90.37841 4.329281
## 2                 team_engagement_f  3.8028747  8.600763 87.59636 4.081690
## 3           supervisor_engagement_f  4.0000000 12.381344 83.61866 4.138621
## 1                  job_engagement_f  3.3652097 19.944852 76.68994 3.844353
## 12 team_performance_rating_5scale_f  6.2305661 19.315928 74.45351 3.871035
## 6        team_performance_support_f  8.2628337 22.536814 69.20035 3.697507
## 10                      wellbeing_f  4.5632150 30.297448 65.13934 3.670261
## 4       senior_manager_engagement_f  9.4784394 26.881784 63.63978 3.713476
## 5               agency_engagement_f  6.5379877 33.217952 60.24406 3.618633
## 8                      innovation_f  7.9870930 36.490466 55.52244 3.564658
## 9           leadership_engagement_f 13.7213259 37.248460 49.03021 3.406759
## 7                    risk_culture_f  8.8025814 43.298328 47.89909 3.430367
##           sd
## 11 0.6759571
## 2  0.7079963
## 3  0.8106579
## 1  0.6576916
## 12 0.8415038
## 6  0.7613755
## 10 0.6768877
## 4  0.9177192
## 5  0.7515965
## 8  0.7943965
## 9  0.9157796
## 7  0.7676932
# centered bar plot showing the percent responses for each question (order from most to least agreement)
plot(aps_with_scales_factors_likert, type="bar")

# bar plot ordered by question (not centered)
plot(aps_with_scales_factors_likert, group.order = names(aps_with_scales_factors), centered = FALSE) + theme(text = element_text(size = 14))

# heat plot (mean, standard deviation, and percent selection of responses for each question)
plot(aps_with_scales_factors_likert, 
     type="heat",
     low.color = "white", 
     high.color = "blue",
     text.color = "black", 
     text.size = 4, 
     wrap = 50)

# density plot (treating Likert data like numeric data)
plot(aps_with_scales_factors_likert,
     type="density",
     facet = TRUE, 
     bw = 0.5)

# descriptive statistics (mean, sd, median, skewness)
psych::describe(aps_with_scales_factors)
##                                   vars     n mean   sd median trimmed  mad min
## job_engagement_f*                    1 85225 3.84 0.66      4    3.85 0.00   1
## team_engagement_f*                   2 85225 4.08 0.71      4    4.16 0.00   1
## supervisor_engagement_f*             3 85225 4.14 0.81      4    4.23 1.48   1
## senior_manager_engagement_f*         4 85225 3.71 0.92      4    3.78 1.48   1
## agency_engagement_f*                 5 85225 3.62 0.75      4    3.63 0.00   1
## team_performance_support_f*          6 85225 3.70 0.76      4    3.74 0.00   1
## risk_culture_f*                      7 85225 3.43 0.77      3    3.47 1.48   1
## innovation_f*                        8 85225 3.56 0.79      4    3.57 1.48   1
## leadership_engagement_f*             9 85225 3.41 0.92      3    3.44 1.48   1
## wellbeing_f*                        10 85225 3.67 0.68      4    3.69 0.00   1
## values_f*                           11 85225 4.33 0.68      4    4.42 1.48   1
## team_performance_rating_5scale_f*   12 85225 3.87 0.84      4    3.94 0.00   1
##                                   max range  skew kurtosis se
## job_engagement_f*                   5     4 -0.66     1.26  0
## team_engagement_f*                  5     4 -0.98     2.25  0
## supervisor_engagement_f*            5     4 -0.99     1.34  0
## senior_manager_engagement_f*        5     4 -0.54     0.10  0
## agency_engagement_f*                5     4 -0.42     0.33  0
## team_performance_support_f*         5     4 -0.74     0.61  0
## risk_culture_f*                     5     4 -0.38     0.50  0
## innovation_f*                       5     4 -0.30     0.10  0
## leadership_engagement_f*            5     4 -0.47     0.18  0
## wellbeing_f*                        5     4 -0.53     0.60  0
## values_f*                           5     4 -0.75     0.54  0
## team_performance_rating_5scale_f*   5     4 -0.85     1.14  0
# Correlation analysis

# Pearson correlation (11 scales, org_size, employee_level and dep var)
Pcorrelation_and_significance <- Hmisc::rcorr(as.matrix(aps_with_scales), type = "pearson")
Pcorrelation_and_significance
##                           org_size employee_level job_engagement
## org_size                      1.00           0.08          -0.07
## employee_level                0.08           1.00          -0.21
## job_engagement               -0.07          -0.21           1.00
## team_engagement              -0.05          -0.13           0.54
## supervisor_engagement        -0.02          -0.08           0.57
## senior_manager_engagement    -0.05          -0.16           0.58
## agency_engagement            -0.05          -0.11           0.75
## team_performance_support     -0.04          -0.01           0.55
## risk_culture                 -0.03          -0.01           0.50
## innovation                   -0.03          -0.12           0.63
## leadership_engagement        -0.05          -0.06           0.55
## wellbeing                    -0.05          -0.06           0.71
## values                       -0.03          -0.09           0.46
## team_performance_rating      -0.03          -0.05           0.40
##                           team_engagement supervisor_engagement
## org_size                            -0.05                 -0.02
## employee_level                      -0.13                 -0.08
## job_engagement                       0.54                  0.57
## team_engagement                      1.00                  0.59
## supervisor_engagement                0.59                  1.00
## senior_manager_engagement            0.44                  0.49
## agency_engagement                    0.53                  0.52
## team_performance_support             0.51                  0.52
## risk_culture                         0.40                  0.41
## innovation                           0.45                  0.56
## leadership_engagement                0.38                  0.38
## wellbeing                            0.57                  0.64
## values                               0.53                  0.52
## team_performance_rating              0.46                  0.40
##                           senior_manager_engagement agency_engagement
## org_size                                      -0.05             -0.05
## employee_level                                -0.16             -0.11
## job_engagement                                 0.58              0.75
## team_engagement                                0.44              0.53
## supervisor_engagement                          0.49              0.52
## senior_manager_engagement                      1.00              0.63
## agency_engagement                              0.63              1.00
## team_performance_support                       0.48              0.62
## risk_culture                                   0.50              0.65
## innovation                                     0.56              0.70
## leadership_engagement                          0.71              0.71
## wellbeing                                      0.57              0.74
## values                                         0.48              0.53
## team_performance_rating                        0.36              0.45
##                           team_performance_support risk_culture innovation
## org_size                                     -0.04        -0.03      -0.03
## employee_level                               -0.01        -0.01      -0.12
## job_engagement                                0.55         0.50       0.63
## team_engagement                               0.51         0.40       0.45
## supervisor_engagement                         0.52         0.41       0.56
## senior_manager_engagement                     0.48         0.50       0.56
## agency_engagement                             0.62         0.65       0.70
## team_performance_support                      1.00         0.55       0.58
## risk_culture                                  0.55         1.00       0.65
## innovation                                    0.58         0.65       1.00
## leadership_engagement                         0.49         0.58       0.57
## wellbeing                                     0.65         0.60       0.67
## values                                        0.48         0.45       0.47
## team_performance_rating                       0.53         0.38       0.42
##                           leadership_engagement wellbeing values
## org_size                                  -0.05     -0.05  -0.03
## employee_level                            -0.06     -0.06  -0.09
## job_engagement                             0.55      0.71   0.46
## team_engagement                            0.38      0.57   0.53
## supervisor_engagement                      0.38      0.64   0.52
## senior_manager_engagement                  0.71      0.57   0.48
## agency_engagement                          0.71      0.74   0.53
## team_performance_support                   0.49      0.65   0.48
## risk_culture                               0.58      0.60   0.45
## innovation                                 0.57      0.67   0.47
## leadership_engagement                      1.00      0.58   0.48
## wellbeing                                  0.58      1.00   0.56
## values                                     0.48      0.56   1.00
## team_performance_rating                    0.34      0.45   0.39
##                           team_performance_rating
## org_size                                    -0.03
## employee_level                              -0.05
## job_engagement                               0.40
## team_engagement                              0.46
## supervisor_engagement                        0.40
## senior_manager_engagement                    0.36
## agency_engagement                            0.45
## team_performance_support                     0.53
## risk_culture                                 0.38
## innovation                                   0.42
## leadership_engagement                        0.34
## wellbeing                                    0.45
## values                                       0.39
## team_performance_rating                      1.00
## 
## n= 85225 
## 
## 
## P
##                           org_size employee_level job_engagement
## org_size                           0.0000         0.0000        
## employee_level            0.0000                  0.0000        
## job_engagement            0.0000   0.0000                       
## team_engagement           0.0000   0.0000         0.0000        
## supervisor_engagement     0.0000   0.0000         0.0000        
## senior_manager_engagement 0.0000   0.0000         0.0000        
## agency_engagement         0.0000   0.0000         0.0000        
## team_performance_support  0.0000   0.0129         0.0000        
## risk_culture              0.0000   0.0139         0.0000        
## innovation                0.0000   0.0000         0.0000        
## leadership_engagement     0.0000   0.0000         0.0000        
## wellbeing                 0.0000   0.0000         0.0000        
## values                    0.0000   0.0000         0.0000        
## team_performance_rating   0.0000   0.0000         0.0000        
##                           team_engagement supervisor_engagement
## org_size                  0.0000          0.0000               
## employee_level            0.0000          0.0000               
## job_engagement            0.0000          0.0000               
## team_engagement                           0.0000               
## supervisor_engagement     0.0000                               
## senior_manager_engagement 0.0000          0.0000               
## agency_engagement         0.0000          0.0000               
## team_performance_support  0.0000          0.0000               
## risk_culture              0.0000          0.0000               
## innovation                0.0000          0.0000               
## leadership_engagement     0.0000          0.0000               
## wellbeing                 0.0000          0.0000               
## values                    0.0000          0.0000               
## team_performance_rating   0.0000          0.0000               
##                           senior_manager_engagement agency_engagement
## org_size                  0.0000                    0.0000           
## employee_level            0.0000                    0.0000           
## job_engagement            0.0000                    0.0000           
## team_engagement           0.0000                    0.0000           
## supervisor_engagement     0.0000                    0.0000           
## senior_manager_engagement                           0.0000           
## agency_engagement         0.0000                                     
## team_performance_support  0.0000                    0.0000           
## risk_culture              0.0000                    0.0000           
## innovation                0.0000                    0.0000           
## leadership_engagement     0.0000                    0.0000           
## wellbeing                 0.0000                    0.0000           
## values                    0.0000                    0.0000           
## team_performance_rating   0.0000                    0.0000           
##                           team_performance_support risk_culture innovation
## org_size                  0.0000                   0.0000       0.0000    
## employee_level            0.0129                   0.0139       0.0000    
## job_engagement            0.0000                   0.0000       0.0000    
## team_engagement           0.0000                   0.0000       0.0000    
## supervisor_engagement     0.0000                   0.0000       0.0000    
## senior_manager_engagement 0.0000                   0.0000       0.0000    
## agency_engagement         0.0000                   0.0000       0.0000    
## team_performance_support                           0.0000       0.0000    
## risk_culture              0.0000                                0.0000    
## innovation                0.0000                   0.0000                 
## leadership_engagement     0.0000                   0.0000       0.0000    
## wellbeing                 0.0000                   0.0000       0.0000    
## values                    0.0000                   0.0000       0.0000    
## team_performance_rating   0.0000                   0.0000       0.0000    
##                           leadership_engagement wellbeing values
## org_size                  0.0000                0.0000    0.0000
## employee_level            0.0000                0.0000    0.0000
## job_engagement            0.0000                0.0000    0.0000
## team_engagement           0.0000                0.0000    0.0000
## supervisor_engagement     0.0000                0.0000    0.0000
## senior_manager_engagement 0.0000                0.0000    0.0000
## agency_engagement         0.0000                0.0000    0.0000
## team_performance_support  0.0000                0.0000    0.0000
## risk_culture              0.0000                0.0000    0.0000
## innovation                0.0000                0.0000    0.0000
## leadership_engagement                           0.0000    0.0000
## wellbeing                 0.0000                          0.0000
## values                    0.0000                0.0000          
## team_performance_rating   0.0000                0.0000    0.0000
##                           team_performance_rating
## org_size                  0.0000                 
## employee_level            0.0000                 
## job_engagement            0.0000                 
## team_engagement           0.0000                 
## supervisor_engagement     0.0000                 
## senior_manager_engagement 0.0000                 
## agency_engagement         0.0000                 
## team_performance_support  0.0000                 
## risk_culture              0.0000                 
## innovation                0.0000                 
## leadership_engagement     0.0000                 
## wellbeing                 0.0000                 
## values                    0.0000                 
## team_performance_rating
Pcorr_aps_with_scales <- cor(aps_with_scales, method = "pearson")
Pcorr_aps_with_scales
##                              org_size employee_level job_engagement
## org_size                   1.00000000    0.083050370    -0.06605297
## employee_level             0.08305037    1.000000000    -0.20885949
## job_engagement            -0.06605297   -0.208859488     1.00000000
## team_engagement           -0.05104893   -0.127712565     0.54199135
## supervisor_engagement     -0.01884828   -0.078534207     0.56711267
## senior_manager_engagement -0.04786086   -0.164671593     0.58352615
## agency_engagement         -0.05324106   -0.113155178     0.75487803
## team_performance_support  -0.03852463   -0.008519484     0.55467936
## risk_culture              -0.02527927   -0.008422547     0.50442874
## innovation                -0.02929181   -0.123484923     0.62859089
## leadership_engagement     -0.05314599   -0.056359040     0.54781366
## wellbeing                 -0.05489275   -0.055970311     0.70989027
## values                    -0.02944937   -0.086852474     0.46068189
## team_performance_rating   -0.03014092   -0.047173169     0.40190673
##                           team_engagement supervisor_engagement
## org_size                      -0.05104893           -0.01884828
## employee_level                -0.12771256           -0.07853421
## job_engagement                 0.54199135            0.56711267
## team_engagement                1.00000000            0.59259290
## supervisor_engagement          0.59259290            1.00000000
## senior_manager_engagement      0.44414674            0.49402706
## agency_engagement              0.52976875            0.52471243
## team_performance_support       0.51274372            0.51856635
## risk_culture                   0.40102737            0.41339290
## innovation                     0.45290268            0.55993139
## leadership_engagement          0.37606008            0.38326076
## wellbeing                      0.56948444            0.64406488
## values                         0.53334064            0.51561766
## team_performance_rating        0.46033362            0.40005078
##                           senior_manager_engagement agency_engagement
## org_size                                -0.04786086       -0.05324106
## employee_level                          -0.16467159       -0.11315518
## job_engagement                           0.58352615        0.75487803
## team_engagement                          0.44414674        0.52976875
## supervisor_engagement                    0.49402706        0.52471243
## senior_manager_engagement                1.00000000        0.63202235
## agency_engagement                        0.63202235        1.00000000
## team_performance_support                 0.48008462        0.62271906
## risk_culture                             0.49776690        0.64903387
## innovation                               0.55724751        0.69618486
## leadership_engagement                    0.71168082        0.70680044
## wellbeing                                0.57190124        0.74247759
## values                                   0.48358705        0.53098228
## team_performance_rating                  0.36133950        0.44510916
##                           team_performance_support risk_culture  innovation
## org_size                              -0.038524626 -0.025279274 -0.02929181
## employee_level                        -0.008519484 -0.008422547 -0.12348492
## job_engagement                         0.554679355  0.504428741  0.62859089
## team_engagement                        0.512743718  0.401027375  0.45290268
## supervisor_engagement                  0.518566353  0.413392902  0.55993139
## senior_manager_engagement              0.480084623  0.497766898  0.55724751
## agency_engagement                      0.622719064  0.649033865  0.69618486
## team_performance_support               1.000000000  0.545815249  0.57786252
## risk_culture                           0.545815249  1.000000000  0.64632951
## innovation                             0.577862524  0.646329514  1.00000000
## leadership_engagement                  0.493413671  0.576033980  0.56663221
## wellbeing                              0.651603311  0.600987007  0.66786687
## values                                 0.482739195  0.447136835  0.47141176
## team_performance_rating                0.526794670  0.378108218  0.41594374
##                           leadership_engagement   wellbeing      values
## org_size                            -0.05314599 -0.05489275 -0.02944937
## employee_level                      -0.05635904 -0.05597031 -0.08685247
## job_engagement                       0.54781366  0.70989027  0.46068189
## team_engagement                      0.37606008  0.56948444  0.53334064
## supervisor_engagement                0.38326076  0.64406488  0.51561766
## senior_manager_engagement            0.71168082  0.57190124  0.48358705
## agency_engagement                    0.70680044  0.74247759  0.53098228
## team_performance_support             0.49341367  0.65160331  0.48273920
## risk_culture                         0.57603398  0.60098701  0.44713683
## innovation                           0.56663221  0.66786687  0.47141176
## leadership_engagement                1.00000000  0.57808210  0.47706435
## wellbeing                            0.57808210  1.00000000  0.56455062
## values                               0.47706435  0.56455062  1.00000000
## team_performance_rating              0.33950085  0.45158060  0.39402618
##                           team_performance_rating
## org_size                              -0.03014092
## employee_level                        -0.04717317
## job_engagement                         0.40190673
## team_engagement                        0.46033362
## supervisor_engagement                  0.40005078
## senior_manager_engagement              0.36133950
## agency_engagement                      0.44510916
## team_performance_support               0.52679467
## risk_culture                           0.37810822
## innovation                             0.41594374
## leadership_engagement                  0.33950085
## wellbeing                              0.45158060
## values                                 0.39402618
## team_performance_rating                1.00000000
corrgram(Pcorr_aps_with_scales, order=TRUE, lower.panel=panel.shade,
         upper.panel=panel.pie, text.panel=panel.txt,
         main="Correlation analysis - Pearson")

corrplot(Pcorr_aps_with_scales, method="pie", type = "upper", order = "hclust", 
         tl.col = "black", tl.srt = 40, tl.cex = 0.4)

corrplot(Pcorr_aps_with_scales, method="number", type = "upper", order = "hclust", 
         tl.col = "black", tl.srt = 40, tl.cex = 0.4)

# Spearman correlation (11 scales, org_size, employee_level and dep var)

Scorrelation_and_significance <- Hmisc::rcorr(as.matrix(aps_with_scales), type = "spearman")  
Scorrelation_and_significance
##                           org_size employee_level job_engagement
## org_size                      1.00           0.08          -0.07
## employee_level                0.08           1.00          -0.20
## job_engagement               -0.07          -0.20           1.00
## team_engagement              -0.06          -0.13           0.52
## supervisor_engagement        -0.02          -0.07           0.55
## senior_manager_engagement    -0.06          -0.16           0.56
## agency_engagement            -0.06          -0.09           0.73
## team_performance_support     -0.04           0.01           0.53
## risk_culture                 -0.03           0.00           0.47
## innovation                   -0.03          -0.10           0.60
## leadership_engagement        -0.06          -0.04           0.52
## wellbeing                    -0.06          -0.04           0.68
## values                       -0.03          -0.07           0.43
## team_performance_rating      -0.03          -0.03           0.36
##                           team_engagement supervisor_engagement
## org_size                            -0.06                 -0.02
## employee_level                      -0.13                 -0.07
## job_engagement                       0.52                  0.55
## team_engagement                      1.00                  0.58
## supervisor_engagement                0.58                  1.00
## senior_manager_engagement            0.42                  0.49
## agency_engagement                    0.50                  0.51
## team_performance_support             0.47                  0.49
## risk_culture                         0.35                  0.38
## innovation                           0.42                  0.53
## leadership_engagement                0.35                  0.37
## wellbeing                            0.52                  0.60
## values                               0.48                  0.45
## team_performance_rating              0.41                  0.36
##                           senior_manager_engagement agency_engagement
## org_size                                      -0.06             -0.06
## employee_level                                -0.16             -0.09
## job_engagement                                 0.56              0.73
## team_engagement                                0.42              0.50
## supervisor_engagement                          0.49              0.51
## senior_manager_engagement                      1.00              0.61
## agency_engagement                              0.61              1.00
## team_performance_support                       0.46              0.60
## risk_culture                                   0.47              0.62
## innovation                                     0.54              0.68
## leadership_engagement                          0.70              0.70
## wellbeing                                      0.54              0.72
## values                                         0.46              0.50
## team_performance_rating                        0.33              0.41
##                           team_performance_support risk_culture innovation
## org_size                                     -0.04        -0.03      -0.03
## employee_level                                0.01         0.00      -0.10
## job_engagement                                0.53         0.47       0.60
## team_engagement                               0.47         0.35       0.42
## supervisor_engagement                         0.49         0.38       0.53
## senior_manager_engagement                     0.46         0.47       0.54
## agency_engagement                             0.60         0.62       0.68
## team_performance_support                      1.00         0.51       0.55
## risk_culture                                  0.51         1.00       0.62
## innovation                                    0.55         0.62       1.00
## leadership_engagement                         0.48         0.55       0.55
## wellbeing                                     0.62         0.56       0.64
## values                                        0.45         0.41       0.44
## team_performance_rating                       0.48         0.34       0.38
##                           leadership_engagement wellbeing values
## org_size                                  -0.06     -0.06  -0.03
## employee_level                            -0.04     -0.04  -0.07
## job_engagement                             0.52      0.68   0.43
## team_engagement                            0.35      0.52   0.48
## supervisor_engagement                      0.37      0.60   0.45
## senior_manager_engagement                  0.70      0.54   0.46
## agency_engagement                          0.70      0.72   0.50
## team_performance_support                   0.48      0.62   0.45
## risk_culture                               0.55      0.56   0.41
## innovation                                 0.55      0.64   0.44
## leadership_engagement                      1.00      0.56   0.47
## wellbeing                                  0.56      1.00   0.52
## values                                     0.47      0.52   1.00
## team_performance_rating                    0.31      0.40   0.35
##                           team_performance_rating
## org_size                                    -0.03
## employee_level                              -0.03
## job_engagement                               0.36
## team_engagement                              0.41
## supervisor_engagement                        0.36
## senior_manager_engagement                    0.33
## agency_engagement                            0.41
## team_performance_support                     0.48
## risk_culture                                 0.34
## innovation                                   0.38
## leadership_engagement                        0.31
## wellbeing                                    0.40
## values                                       0.35
## team_performance_rating                      1.00
## 
## n= 85225 
## 
## 
## P
##                           org_size employee_level job_engagement
## org_size                           0.0000         0.0000        
## employee_level            0.0000                  0.0000        
## job_engagement            0.0000   0.0000                       
## team_engagement           0.0000   0.0000         0.0000        
## supervisor_engagement     0.0000   0.0000         0.0000        
## senior_manager_engagement 0.0000   0.0000         0.0000        
## agency_engagement         0.0000   0.0000         0.0000        
## team_performance_support  0.0000   0.0018         0.0000        
## risk_culture              0.0000   0.2064         0.0000        
## innovation                0.0000   0.0000         0.0000        
## leadership_engagement     0.0000   0.0000         0.0000        
## wellbeing                 0.0000   0.0000         0.0000        
## values                    0.0000   0.0000         0.0000        
## team_performance_rating   0.0000   0.0000         0.0000        
##                           team_engagement supervisor_engagement
## org_size                  0.0000          0.0000               
## employee_level            0.0000          0.0000               
## job_engagement            0.0000          0.0000               
## team_engagement                           0.0000               
## supervisor_engagement     0.0000                               
## senior_manager_engagement 0.0000          0.0000               
## agency_engagement         0.0000          0.0000               
## team_performance_support  0.0000          0.0000               
## risk_culture              0.0000          0.0000               
## innovation                0.0000          0.0000               
## leadership_engagement     0.0000          0.0000               
## wellbeing                 0.0000          0.0000               
## values                    0.0000          0.0000               
## team_performance_rating   0.0000          0.0000               
##                           senior_manager_engagement agency_engagement
## org_size                  0.0000                    0.0000           
## employee_level            0.0000                    0.0000           
## job_engagement            0.0000                    0.0000           
## team_engagement           0.0000                    0.0000           
## supervisor_engagement     0.0000                    0.0000           
## senior_manager_engagement                           0.0000           
## agency_engagement         0.0000                                     
## team_performance_support  0.0000                    0.0000           
## risk_culture              0.0000                    0.0000           
## innovation                0.0000                    0.0000           
## leadership_engagement     0.0000                    0.0000           
## wellbeing                 0.0000                    0.0000           
## values                    0.0000                    0.0000           
## team_performance_rating   0.0000                    0.0000           
##                           team_performance_support risk_culture innovation
## org_size                  0.0000                   0.0000       0.0000    
## employee_level            0.0018                   0.2064       0.0000    
## job_engagement            0.0000                   0.0000       0.0000    
## team_engagement           0.0000                   0.0000       0.0000    
## supervisor_engagement     0.0000                   0.0000       0.0000    
## senior_manager_engagement 0.0000                   0.0000       0.0000    
## agency_engagement         0.0000                   0.0000       0.0000    
## team_performance_support                           0.0000       0.0000    
## risk_culture              0.0000                                0.0000    
## innovation                0.0000                   0.0000                 
## leadership_engagement     0.0000                   0.0000       0.0000    
## wellbeing                 0.0000                   0.0000       0.0000    
## values                    0.0000                   0.0000       0.0000    
## team_performance_rating   0.0000                   0.0000       0.0000    
##                           leadership_engagement wellbeing values
## org_size                  0.0000                0.0000    0.0000
## employee_level            0.0000                0.0000    0.0000
## job_engagement            0.0000                0.0000    0.0000
## team_engagement           0.0000                0.0000    0.0000
## supervisor_engagement     0.0000                0.0000    0.0000
## senior_manager_engagement 0.0000                0.0000    0.0000
## agency_engagement         0.0000                0.0000    0.0000
## team_performance_support  0.0000                0.0000    0.0000
## risk_culture              0.0000                0.0000    0.0000
## innovation                0.0000                0.0000    0.0000
## leadership_engagement                           0.0000    0.0000
## wellbeing                 0.0000                          0.0000
## values                    0.0000                0.0000          
## team_performance_rating   0.0000                0.0000    0.0000
##                           team_performance_rating
## org_size                  0.0000                 
## employee_level            0.0000                 
## job_engagement            0.0000                 
## team_engagement           0.0000                 
## supervisor_engagement     0.0000                 
## senior_manager_engagement 0.0000                 
## agency_engagement         0.0000                 
## team_performance_support  0.0000                 
## risk_culture              0.0000                 
## innovation                0.0000                 
## leadership_engagement     0.0000                 
## wellbeing                 0.0000                 
## values                    0.0000                 
## team_performance_rating
Scorr_aps_with_scales <- cor(aps_with_scales, method = "spearman")
Scorr_aps_with_scales
##                              org_size employee_level job_engagement
## org_size                   1.00000000    0.083848036    -0.07040973
## employee_level             0.08384804    1.000000000    -0.20161715
## job_engagement            -0.07040973   -0.201617149     1.00000000
## team_engagement           -0.05736317   -0.127896597     0.51519381
## supervisor_engagement     -0.02334888   -0.072779662     0.55124180
## senior_manager_engagement -0.05532164   -0.164203976     0.55904893
## agency_engagement         -0.05940753   -0.093965148     0.72643411
## team_performance_support  -0.04311518    0.010669524     0.52942908
## risk_culture              -0.02557473    0.004328223     0.46717929
## innovation                -0.03413545   -0.104400622     0.60148260
## leadership_engagement     -0.05566880   -0.043508881     0.52479384
## wellbeing                 -0.05954783   -0.038313382     0.67900287
## values                    -0.03488920   -0.071568454     0.42610004
## team_performance_rating   -0.03374535   -0.029010649     0.35790346
##                           team_engagement supervisor_engagement
## org_size                      -0.05736317           -0.02334888
## employee_level                -0.12789660           -0.07277966
## job_engagement                 0.51519381            0.55124180
## team_engagement                1.00000000            0.57964646
## supervisor_engagement          0.57964646            1.00000000
## senior_manager_engagement      0.42457228            0.49357625
## agency_engagement              0.49815837            0.50682564
## team_performance_support       0.47176981            0.48878108
## risk_culture                   0.35482239            0.38065067
## innovation                     0.41921144            0.52912584
## leadership_engagement          0.35070107            0.36904445
## wellbeing                      0.52364704            0.60329166
## values                         0.47921337            0.45164402
## team_performance_rating        0.41087866            0.36192583
##                           senior_manager_engagement agency_engagement
## org_size                                -0.05532164       -0.05940753
## employee_level                          -0.16420398       -0.09396515
## job_engagement                           0.55904893        0.72643411
## team_engagement                          0.42457228        0.49815837
## supervisor_engagement                    0.49357625        0.50682564
## senior_manager_engagement                1.00000000        0.60973438
## agency_engagement                        0.60973438        1.00000000
## team_performance_support                 0.46060283        0.60159098
## risk_culture                             0.46633506        0.62052673
## innovation                               0.53654911        0.67662789
## leadership_engagement                    0.69735328        0.69551186
## wellbeing                                0.54157355        0.71610514
## values                                   0.45687464        0.50208358
## team_performance_rating                  0.32913789        0.40598212
##                           team_performance_support risk_culture  innovation
## org_size                               -0.04311518 -0.025574727 -0.03413545
## employee_level                          0.01066952  0.004328223 -0.10440062
## job_engagement                          0.52942908  0.467179286  0.60148260
## team_engagement                         0.47176981  0.354822394  0.41921144
## supervisor_engagement                   0.48878108  0.380650667  0.52912584
## senior_manager_engagement               0.46060283  0.466335056  0.53654911
## agency_engagement                       0.60159098  0.620526726  0.67662789
## team_performance_support                1.00000000  0.512978810  0.54912579
## risk_culture                            0.51297881  1.000000000  0.62339785
## innovation                              0.54912579  0.623397850  1.00000000
## leadership_engagement                   0.47764170  0.551281062  0.55339317
## wellbeing                               0.62408778  0.560003963  0.63818837
## values                                  0.44648389  0.412040018  0.43904872
## team_performance_rating                 0.48337370  0.338026673  0.37883819
##                           leadership_engagement   wellbeing      values
## org_size                            -0.05566880 -0.05954783 -0.03488920
## employee_level                      -0.04350888 -0.03831338 -0.07156845
## job_engagement                       0.52479384  0.67900287  0.42610004
## team_engagement                      0.35070107  0.52364704  0.47921337
## supervisor_engagement                0.36904445  0.60329166  0.45164402
## senior_manager_engagement            0.69735328  0.54157355  0.45687464
## agency_engagement                    0.69551186  0.71610514  0.50208358
## team_performance_support             0.47764170  0.62408778  0.44648389
## risk_culture                         0.55128106  0.56000396  0.41204002
## innovation                           0.55339317  0.63818837  0.43904872
## leadership_engagement                1.00000000  0.55555772  0.46531462
## wellbeing                            0.55555772  1.00000000  0.52302776
## values                               0.46531462  0.52302776  1.00000000
## team_performance_rating              0.31061754  0.40277277  0.34688351
##                           team_performance_rating
## org_size                              -0.03374535
## employee_level                        -0.02901065
## job_engagement                         0.35790346
## team_engagement                        0.41087866
## supervisor_engagement                  0.36192583
## senior_manager_engagement              0.32913789
## agency_engagement                      0.40598212
## team_performance_support               0.48337370
## risk_culture                           0.33802667
## innovation                             0.37883819
## leadership_engagement                  0.31061754
## wellbeing                              0.40277277
## values                                 0.34688351
## team_performance_rating                1.00000000
corrgram(Scorr_aps_with_scales, order=TRUE, lower.panel=panel.shade,
         upper.panel=panel.pie, text.panel=panel.txt,
         main="Correlation analysis - Spearman")

corrplot(Scorr_aps_with_scales, method="pie", type = "upper", order = "hclust", 
         tl.col = "black", tl.srt = 40, tl.cex = 0.4)

corrplot(Scorr_aps_with_scales, method="number", type = "upper", order = "hclust", 
         tl.col = "black", tl.srt = 40, tl.cex = 0.4)

# PCA analysis
aps_model_pca <- prcomp(aps_with_scales)
summary(aps_model_pca)
## Importance of components:
##                           PC1    PC2     PC3    PC4    PC5     PC6    PC7
## Standard deviation     2.2144 1.2363 0.72076 0.6238 0.5491 0.50322 0.4792
## Proportion of Variance 0.5317 0.1657 0.05634 0.0422 0.0327 0.02746 0.0249
## Cumulative Proportion  0.5317 0.6975 0.75380 0.7960 0.8287 0.85616 0.8811
##                           PC8     PC9    PC10    PC11    PC12    PC13    PC14
## Standard deviation     0.4575 0.45189 0.43916 0.40408 0.38922 0.30344 0.28893
## Proportion of Variance 0.0227 0.02214 0.02091 0.01771 0.01643 0.00999 0.00905
## Cumulative Proportion  0.9038 0.92591 0.94683 0.96453 0.98096 0.99095 1.00000
plot(aps_model_pca, type = "l")

aps_model_pca$rotation
##                                   PC1         PC2          PC3         PC4
## org_size                   0.01116724 -0.01088564  0.009561422 -0.07168610
## employee_level             0.02584678 -0.03947416 -0.037370448 -0.42225677
## job_engagement            -0.19657472  0.17814040  0.116600821  0.04824650
## team_engagement           -0.20943477  0.07758429  0.418369228  0.22372570
## supervisor_engagement     -0.22791119  0.15752479  0.544197908  0.17832070
## senior_manager_engagement -0.27089236  0.31322445 -0.335007526  0.51777737
## agency_engagement         -0.24033940  0.22055726 -0.049862127 -0.13371188
## team_performance_support  -0.24542689  0.08653864  0.147738944 -0.31729262
## risk_culture              -0.21037670  0.19140415 -0.096871429 -0.49073526
## innovation                -0.23869382  0.21128428  0.066015633 -0.27677160
## leadership_engagement     -0.26385611  0.33070343 -0.539705975  0.03746929
## wellbeing                 -0.21017112  0.16811631  0.162266467 -0.11856077
## values                    -0.18130741  0.12176028  0.168069191  0.10602544
## team_performance_rating   -0.65228959 -0.74012289 -0.132614845  0.04010787
##                                   PC5          PC6         PC7         PC8
## org_size                   0.16133666 -0.278052256 -0.31307467  0.84423073
## employee_level             0.71203032 -0.196037475  0.12391849 -0.21608903
## job_engagement            -0.28392352  0.005706321  0.23199229  0.04698552
## team_engagement            0.14323721  0.445141106 -0.02505707  0.07513005
## supervisor_engagement      0.18947449 -0.491278478 -0.05495466 -0.24708406
## senior_manager_engagement  0.13972248 -0.312507693  0.07530623  0.09422347
## agency_engagement         -0.16306430  0.126629097  0.10927540  0.02869289
## team_performance_support   0.09475659  0.137848573  0.59958085  0.36857528
## risk_culture              -0.11538393  0.057518072 -0.41729897 -0.09077426
## innovation                -0.36108845 -0.309025765 -0.21291862 -0.07159621
## leadership_engagement      0.21669922  0.174113725  0.01489744 -0.09809374
## wellbeing                 -0.01377948 -0.004198362  0.11107837 -0.03620177
## values                     0.28890616  0.425061492 -0.46738141  0.02513369
## team_performance_rating   -0.02342204 -0.046953025 -0.03965268 -0.03460635
##                                   PC9        PC10         PC11         PC12
## org_size                  -0.27175469  0.02234701  0.054011543  0.045833908
## employee_level            -0.19172550 -0.13175894 -0.345692084 -0.149743345
## job_engagement            -0.35590548  0.06545577 -0.362567726  0.216258253
## team_engagement           -0.23628644 -0.57674986  0.117907600 -0.310366879
## supervisor_engagement     -0.02547920  0.15550162  0.377946209  0.237734645
## senior_manager_engagement  0.34860655 -0.30393118 -0.313365722 -0.001585071
## agency_engagement         -0.32718388  0.08463480 -0.218941692  0.131442615
## team_performance_support   0.47525510  0.09912123  0.196548862 -0.042971150
## risk_culture               0.23486112 -0.44948655  0.099541239  0.433637068
## innovation                 0.05835453  0.08283453 -0.056038404 -0.724908020
## leadership_engagement     -0.30691757  0.21720956  0.511606755 -0.085158208
## wellbeing                 -0.12302748  0.11993541 -0.197324320  0.188094100
## values                     0.28735151  0.49087735 -0.301374259 -0.015515333
## team_performance_rating   -0.03644533  0.01573410 -0.007764135  0.018226785
##                                   PC13          PC14
## org_size                  -0.030586239  0.0117948969
## employee_level             0.103119780  0.0626850331
## job_engagement             0.293075954  0.6180275378
## team_engagement           -0.037284776  0.0004802182
## supervisor_engagement      0.157392102 -0.0707375973
## senior_manager_engagement -0.020137064 -0.0628093987
## agency_engagement          0.285032892 -0.7464371146
## team_performance_support   0.096599061  0.0307823274
## risk_culture               0.060408925  0.1053756853
## innovation                -0.010874317  0.0454365362
## leadership_engagement     -0.043309627  0.1701844426
## wellbeing                 -0.876643778 -0.0313147315
## values                     0.105894680  0.0614814337
## team_performance_rating   -0.005745461  0.0040762107
varimax(aps_model_pca$rotation)
## $loadings
## 
## Loadings:
##                           PC1 PC2 PC3 PC4 PC5 PC6 PC7 PC8 PC9 PC10 PC11 PC12
## org_size                                               1                    
## employee_level                             1                                
## job_engagement             1                                                
## team_engagement                                               -1            
## supervisor_engagement              1                                        
## senior_manager_engagement              1                                    
## agency_engagement                                                           
## team_performance_support                           1                        
## risk_culture                                               1                
## innovation                                                              -1  
## leadership_engagement                                               1       
## wellbeing                                                                   
## values                                         1                            
## team_performance_rating       -1                                            
##                           PC13 PC14
## org_size                           
## employee_level                     
## job_engagement                     
## team_engagement                    
## supervisor_engagement              
## senior_manager_engagement          
## agency_engagement              -1  
## team_performance_support           
## risk_culture                       
## innovation                         
## leadership_engagement              
## wellbeing                 -1       
## values                             
## team_performance_rating            
## 
##                  PC1   PC2   PC3   PC4   PC5   PC6   PC7   PC8   PC9  PC10
## SS loadings    1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
## Proportion Var 0.071 0.071 0.071 0.071 0.071 0.071 0.071 0.071 0.071 0.071
## Cumulative Var 0.071 0.143 0.214 0.286 0.357 0.429 0.500 0.571 0.643 0.714
##                 PC11  PC12  PC13  PC14
## SS loadings    1.000 1.000 1.000 1.000
## Proportion Var 0.071 0.071 0.071 0.071
## Cumulative Var 0.786 0.857 0.929 1.000
## 
## $rotmat
##               [,1]         [,2]        [,3]         [,4]        [,5]
##  [1,] -0.196574711  0.652289548 -0.22791107 -0.270891745  0.02584678
##  [2,]  0.178140143  0.740122932  0.15752477  0.313223869 -0.03947416
##  [3,]  0.116600889  0.132614831  0.54419776 -0.335007240 -0.03737046
##  [4,]  0.048246640 -0.040107891  0.17832067  0.517778903 -0.42225674
##  [5,] -0.283923490  0.023421976  0.18947444  0.139722765  0.71203033
##  [6,]  0.005706222  0.046953030 -0.49127864 -0.312507897 -0.19603748
##  [7,]  0.231992466  0.039652702 -0.05495451  0.075307492  0.12391850
##  [8,]  0.046985498  0.034606368 -0.24708409  0.094223723 -0.21608903
##  [9,] -0.355905617  0.036445292 -0.02547930  0.348605717 -0.19172550
## [10,]  0.065455815 -0.015734136  0.15550154 -0.303929874 -0.13175894
## [11,] -0.362567533  0.007764042  0.37794638 -0.313366033 -0.34569209
## [12,]  0.216258085 -0.018226720  0.23773464 -0.001586345 -0.14974335
## [13,]  0.293075854  0.005745518  0.15739204 -0.020137235  0.10311978
## [14,]  0.618027679 -0.004076104 -0.07073765 -0.062809659  0.06268503
##              [,6]        [,7]         [,8]        [,9]         [,10]
##  [1,] -0.18130807 -0.24542699  0.011167237 -0.21037756  0.2094343057
##  [2,]  0.12176066  0.08653873 -0.010885641  0.19140507 -0.0775839817
##  [3,]  0.16807022  0.14773892  0.009561422 -0.09687242 -0.4183689085
##  [4,]  0.10602589 -0.31729264 -0.071686113 -0.49073364 -0.2237255606
##  [5,]  0.28890646  0.09475664  0.161336657 -0.11538371 -0.1432366182
##  [6,]  0.42506233  0.13784862 -0.278052253  0.05751697 -0.4451401028
##  [7,] -0.46738174  0.59958069 -0.313074670 -0.41729857  0.0250559293
##  [8,]  0.02513368  0.36857526  0.844230728 -0.09077405 -0.0751299911
##  [9,]  0.28735094  0.47525524 -0.271754690  0.23486177  0.2362871371
## [10,]  0.49087585  0.09912121  0.022347007 -0.44948782  0.5767508471
## [11,] -0.30137393  0.19654881  0.054011549  0.09954033 -0.1179083492
## [12,] -0.01551569 -0.04297106  0.045833910  0.43363705  0.3103669407
## [13,]  0.10589471  0.09659909 -0.030586239  0.06040888  0.0372850420
## [14,]  0.06148160  0.03078235  0.011794900  0.10537565 -0.0004800088
##             [,11]       [,12]        [,13]       [,14]
##  [1,] -0.26385603  0.23869382  0.210171116  0.24033946
##  [2,]  0.33070339 -0.21128428 -0.168116311 -0.22055730
##  [3,] -0.53970605 -0.06601564 -0.162266471  0.04986210
##  [4,]  0.03746926  0.27677158  0.118560778  0.13371187
##  [5,]  0.21669920  0.36108842  0.013779477  0.16306436
##  [6,]  0.17411375  0.30902577  0.004198364 -0.12662911
##  [7,]  0.01489745  0.21291861 -0.111078374 -0.10927545
##  [8,] -0.09809373  0.07159621  0.036201773 -0.02869290
##  [9,] -0.30691756 -0.05835453  0.123027480  0.32718396
## [10,]  0.21720955 -0.08283456 -0.119935415 -0.08463483
## [11,]  0.51160676  0.05603841  0.197324317  0.21894177
## [12,] -0.08515825  0.72490804 -0.188094102 -0.13144266
## [13,] -0.04330968  0.01087432  0.876643778 -0.28503296
## [14,]  0.17018442 -0.04543653  0.031314734  0.74643697
head(aps_model_pca$x)
##              PC1        PC2          PC3         PC4         PC5        PC6
## [1,]  0.24348721 -1.2233361 -0.007669118  0.05162797  0.55240574  1.0645714
## [2,] -1.47731867  0.2357392 -0.095490605 -1.17010732  0.01652913  0.1843840
## [3,] -0.07921469 -1.0403995  1.277005055 -0.18529249 -0.53647592 -1.0139960
## [4,] -1.41728611 -1.1875011  0.437528147 -1.07253755 -0.16359113 -0.2262704
## [5,]  0.26108786  1.4356414  0.395762723  0.34376207 -0.18135985  0.1056406
## [6,] -0.93158656  1.1386200  0.238187687  0.17334067 -0.20423747  0.6637096
##               PC7         PC8        PC9       PC10        PC11       PC12
## [1,]  0.007969823 -1.81796413  0.4433081 0.57614174  0.07996394 -0.1464642
## [2,] -0.280321907  0.21106946  0.3538179 0.22758820 -0.26802948 -0.1020091
## [3,]  0.579031430 -0.26436637 -1.2987697 0.22313122 -0.25563075 -0.4340545
## [4,] -0.161995481 -0.06614132 -0.1797329 0.13104310 -0.17208472  0.2120478
## [5,] -0.321341369  0.18078077  0.0762157 0.69841646  0.32091448  0.1015708
## [6,] -0.429276978 -0.77289548  0.3874841 0.09334523  0.55722569 -0.2479029
##             PC13        PC14
## [1,] -0.56658553 -0.28652178
## [2,]  0.02835601  0.16044053
## [3,] -0.49352966  0.49828963
## [4,] -0.37639065 -0.10302175
## [5,]  0.26707454  0.19730718
## [6,] -0.79004196  0.07867979
# importing and formatting 2019 test data
aps_with_scales_lr_test <- read.csv("/Users/ibrahimibrahim/Documents/Ryerson/820/data set/aps_with_scales_lr_test.csv",stringsAsFactors = FALSE)
aps_with_scales_factors_ordReg_test <- read.csv("/Users/ibrahimibrahim/Documents/Ryerson/820/data set/aps_with_scales_factors_ordReg_test.csv",stringsAsFactors = TRUE)

str(aps_with_scales_lr_test)
## 'data.frame':    85981 obs. of  15 variables:
##  $ X                             : int  1 2 3 4 5 6 7 8 9 10 ...
##  $ org_size                      : int  1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : int  2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement                : num  4.7 3.4 3.8 3.8 4.4 3 4 4.1 3.8 3.9 ...
##  $ team_engagement               : num  5 3.5 4 4.75 4.25 4 4 4.5 5 3 ...
##  $ supervisor_engagement         : num  5 3.73 3.91 4 5 ...
##  $ senior_manager_engagement     : num  3.67 1.33 4 3.67 5 ...
##  $ agency_engagement             : num  4.53 2.82 3.88 3.59 2.71 ...
##  $ team_performance_support      : num  3.5 3.5 4.25 2.75 3.5 3 3.5 3 3.25 3.25 ...
##  $ risk_culture                  : num  3.6 2 3.8 3 3 3 4 3.6 3.6 1.2 ...
##  $ innovation                    : num  4.2 2.6 4.2 3.6 3.2 3.4 4 4.4 3.8 2 ...
##  $ leadership_engagement         : num  2.29 1.71 4 3.86 2.29 ...
##  $ wellbeing                     : num  4.77 3.15 3.85 3.38 3.54 ...
##  $ values                        : num  4.67 3.67 5 4 4.67 ...
##  $ team_performance_rating_binary: int  1 0 1 0 0 1 1 0 0 1 ...
aps_with_scales_lr_test <- aps_with_scales_lr_test[-1]
str(aps_with_scales_lr_test)
## 'data.frame':    85981 obs. of  14 variables:
##  $ org_size                      : int  1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : int  2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement                : num  4.7 3.4 3.8 3.8 4.4 3 4 4.1 3.8 3.9 ...
##  $ team_engagement               : num  5 3.5 4 4.75 4.25 4 4 4.5 5 3 ...
##  $ supervisor_engagement         : num  5 3.73 3.91 4 5 ...
##  $ senior_manager_engagement     : num  3.67 1.33 4 3.67 5 ...
##  $ agency_engagement             : num  4.53 2.82 3.88 3.59 2.71 ...
##  $ team_performance_support      : num  3.5 3.5 4.25 2.75 3.5 3 3.5 3 3.25 3.25 ...
##  $ risk_culture                  : num  3.6 2 3.8 3 3 3 4 3.6 3.6 1.2 ...
##  $ innovation                    : num  4.2 2.6 4.2 3.6 3.2 3.4 4 4.4 3.8 2 ...
##  $ leadership_engagement         : num  2.29 1.71 4 3.86 2.29 ...
##  $ wellbeing                     : num  4.77 3.15 3.85 3.38 3.54 ...
##  $ values                        : num  4.67 3.67 5 4 4.67 ...
##  $ team_performance_rating_binary: int  1 0 1 0 0 1 1 0 0 1 ...
aps_with_scales_lr_test$team_performance_rating <- as.numeric(aps_with_scales_lr_test$team_performance_rating)
str(aps_with_scales_lr_test)
## 'data.frame':    85981 obs. of  15 variables:
##  $ org_size                      : int  1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : int  2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement                : num  4.7 3.4 3.8 3.8 4.4 3 4 4.1 3.8 3.9 ...
##  $ team_engagement               : num  5 3.5 4 4.75 4.25 4 4 4.5 5 3 ...
##  $ supervisor_engagement         : num  5 3.73 3.91 4 5 ...
##  $ senior_manager_engagement     : num  3.67 1.33 4 3.67 5 ...
##  $ agency_engagement             : num  4.53 2.82 3.88 3.59 2.71 ...
##  $ team_performance_support      : num  3.5 3.5 4.25 2.75 3.5 3 3.5 3 3.25 3.25 ...
##  $ risk_culture                  : num  3.6 2 3.8 3 3 3 4 3.6 3.6 1.2 ...
##  $ innovation                    : num  4.2 2.6 4.2 3.6 3.2 3.4 4 4.4 3.8 2 ...
##  $ leadership_engagement         : num  2.29 1.71 4 3.86 2.29 ...
##  $ wellbeing                     : num  4.77 3.15 3.85 3.38 3.54 ...
##  $ values                        : num  4.67 3.67 5 4 4.67 ...
##  $ team_performance_rating_binary: int  1 0 1 0 0 1 1 0 0 1 ...
##  $ team_performance_rating       : num  1 0 1 0 0 1 1 0 0 1 ...
aps_with_scales_lr_test$org_size <- as.factor(aps_with_scales_lr_test$org_size)
aps_with_scales_lr_test$employee_level <- as.factor(aps_with_scales_lr_test$employee_level)

str(aps_with_scales_lr_test)
## 'data.frame':    85981 obs. of  15 variables:
##  $ org_size                      : Factor w/ 3 levels "1","2","3": 1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : Factor w/ 3 levels "1","2","3": 2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement                : num  4.7 3.4 3.8 3.8 4.4 3 4 4.1 3.8 3.9 ...
##  $ team_engagement               : num  5 3.5 4 4.75 4.25 4 4 4.5 5 3 ...
##  $ supervisor_engagement         : num  5 3.73 3.91 4 5 ...
##  $ senior_manager_engagement     : num  3.67 1.33 4 3.67 5 ...
##  $ agency_engagement             : num  4.53 2.82 3.88 3.59 2.71 ...
##  $ team_performance_support      : num  3.5 3.5 4.25 2.75 3.5 3 3.5 3 3.25 3.25 ...
##  $ risk_culture                  : num  3.6 2 3.8 3 3 3 4 3.6 3.6 1.2 ...
##  $ innovation                    : num  4.2 2.6 4.2 3.6 3.2 3.4 4 4.4 3.8 2 ...
##  $ leadership_engagement         : num  2.29 1.71 4 3.86 2.29 ...
##  $ wellbeing                     : num  4.77 3.15 3.85 3.38 3.54 ...
##  $ values                        : num  4.67 3.67 5 4 4.67 ...
##  $ team_performance_rating_binary: int  1 0 1 0 0 1 1 0 0 1 ...
##  $ team_performance_rating       : num  1 0 1 0 0 1 1 0 0 1 ...
str(aps_with_scales_factors_ordReg_test)
## 'data.frame':    85981 obs. of  15 variables:
##  $ X                             : int  1 2 3 4 5 6 7 8 9 10 ...
##  $ org_size                      : int  1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : int  2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement_f              : int  5 3 4 4 4 3 4 4 4 4 ...
##  $ team_engagement_f             : int  5 4 4 5 4 4 4 4 5 3 ...
##  $ supervisor_engagement_f       : int  5 4 4 4 5 4 3 4 5 3 ...
##  $ senior_manager_engagement_f   : int  4 1 4 4 5 4 3 3 4 3 ...
##  $ agency_engagement_f           : int  5 3 4 4 3 3 4 4 4 3 ...
##  $ team_performance_support_f    : int  4 4 4 3 4 3 4 3 3 3 ...
##  $ risk_culture_f                : int  4 2 4 3 3 3 4 4 4 1 ...
##  $ innovation_f                  : int  4 3 4 4 3 3 4 4 4 2 ...
##  $ leadership_engagement_f       : int  2 2 4 4 2 3 4 4 4 2 ...
##  $ wellbeing_f                   : int  5 3 4 3 4 3 4 4 4 3 ...
##  $ values_f                      : int  5 4 5 4 5 4 5 5 5 4 ...
##  $ team_performance_rating_ordReg: int  2 0 2 1 1 2 2 1 1 2 ...
aps_with_scales_factors_ordReg_test <- aps_with_scales_factors_ordReg_test[-1]
str(aps_with_scales_factors_ordReg_test) 
## 'data.frame':    85981 obs. of  14 variables:
##  $ org_size                      : int  1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : int  2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement_f              : int  5 3 4 4 4 3 4 4 4 4 ...
##  $ team_engagement_f             : int  5 4 4 5 4 4 4 4 5 3 ...
##  $ supervisor_engagement_f       : int  5 4 4 4 5 4 3 4 5 3 ...
##  $ senior_manager_engagement_f   : int  4 1 4 4 5 4 3 3 4 3 ...
##  $ agency_engagement_f           : int  5 3 4 4 3 3 4 4 4 3 ...
##  $ team_performance_support_f    : int  4 4 4 3 4 3 4 3 3 3 ...
##  $ risk_culture_f                : int  4 2 4 3 3 3 4 4 4 1 ...
##  $ innovation_f                  : int  4 3 4 4 3 3 4 4 4 2 ...
##  $ leadership_engagement_f       : int  2 2 4 4 2 3 4 4 4 2 ...
##  $ wellbeing_f                   : int  5 3 4 3 4 3 4 4 4 3 ...
##  $ values_f                      : int  5 4 5 4 5 4 5 5 5 4 ...
##  $ team_performance_rating_ordReg: int  2 0 2 1 1 2 2 1 1 2 ...
aps_with_scales_factors_ordReg_test$org_size <- as.factor(aps_with_scales_factors_ordReg_test$org_size)
aps_with_scales_factors_ordReg_test$employee_level <- as.factor(aps_with_scales_factors_ordReg_test$employee_level)
aps_with_scales_factors_ordReg_test$job_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$job_engagement_f)
aps_with_scales_factors_ordReg_test$team_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$team_engagement_f)
aps_with_scales_factors_ordReg_test$supervisor_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$supervisor_engagement_f)
aps_with_scales_factors_ordReg_test$senior_manager_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$senior_manager_engagement_f)
aps_with_scales_factors_ordReg_test$agency_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$agency_engagement_f)
aps_with_scales_factors_ordReg_test$team_performance_support_f <- as.factor(aps_with_scales_factors_ordReg_test$team_performance_support_f)
aps_with_scales_factors_ordReg_test$risk_culture_f <- as.factor(aps_with_scales_factors_ordReg_test$risk_culture_f)
aps_with_scales_factors_ordReg_test$innovation_f <- as.factor(aps_with_scales_factors_ordReg_test$innovation_f)
aps_with_scales_factors_ordReg_test$leadership_engagement_f <- as.factor(aps_with_scales_factors_ordReg_test$leadership_engagement_f)
aps_with_scales_factors_ordReg_test$wellbeing_f <- as.factor(aps_with_scales_factors_ordReg_test$wellbeing_f)
aps_with_scales_factors_ordReg_test$values_f <- as.factor(aps_with_scales_factors_ordReg_test$values_f)
aps_with_scales_factors_ordReg_test$team_performance_rating_ordReg <- as.factor(aps_with_scales_factors_ordReg_test$team_performance_rating_ordReg)

str(aps_with_scales_factors_ordReg_test)
## 'data.frame':    85981 obs. of  14 variables:
##  $ org_size                      : Factor w/ 3 levels "1","2","3": 1 3 3 3 3 3 3 3 3 2 ...
##  $ employee_level                : Factor w/ 3 levels "1","2","3": 2 3 3 3 3 2 2 3 3 2 ...
##  $ job_engagement_f              : Factor w/ 5 levels "1","2","3","4",..: 5 3 4 4 4 3 4 4 4 4 ...
##  $ team_engagement_f             : Factor w/ 5 levels "1","2","3","4",..: 5 4 4 5 4 4 4 4 5 3 ...
##  $ supervisor_engagement_f       : Factor w/ 5 levels "1","2","3","4",..: 5 4 4 4 5 4 3 4 5 3 ...
##  $ senior_manager_engagement_f   : Factor w/ 5 levels "1","2","3","4",..: 4 1 4 4 5 4 3 3 4 3 ...
##  $ agency_engagement_f           : Factor w/ 5 levels "1","2","3","4",..: 5 3 4 4 3 3 4 4 4 3 ...
##  $ team_performance_support_f    : Factor w/ 5 levels "1","2","3","4",..: 4 4 4 3 4 3 4 3 3 3 ...
##  $ risk_culture_f                : Factor w/ 5 levels "1","2","3","4",..: 4 2 4 3 3 3 4 4 4 1 ...
##  $ innovation_f                  : Factor w/ 5 levels "1","2","3","4",..: 4 3 4 4 3 3 4 4 4 2 ...
##  $ leadership_engagement_f       : Factor w/ 5 levels "1","2","3","4",..: 2 2 4 4 2 3 4 4 4 2 ...
##  $ wellbeing_f                   : Factor w/ 5 levels "1","2","3","4",..: 5 3 4 3 4 3 4 4 4 3 ...
##  $ values_f                      : Factor w/ 5 levels "1","2","3","4",..: 5 4 5 4 5 4 5 5 5 4 ...
##  $ team_performance_rating_ordReg: Factor w/ 3 levels "0","1","2": 3 1 3 2 2 3 3 2 2 3 ...
# Logistic regression model

# preparing the 2 factor levels: org_size and employee_level

org_size <- as.factor(aps_reduced$org_size)
employee_level <- as.factor(aps_reduced$employee_level)

# transforming the values of the dependent variable to be binary

table(aps_reduced$team_performance_rating)
## 
##     1     2     3     4     5     6     7     8     9    10 
##   595   734  1736  2245  9207  7255 17346 28687 12291  5129
team_performance_rating_binary <- mgsub(aps_reduced$team_performance_rating, c(1,2,3,4,5,6,7,8,9,10), c(0,0,0,0,0,0,0,1,1,1))
team_performance_rating_binary <- as.numeric(team_performance_rating_binary)
table(team_performance_rating_binary)
## team_performance_rating_binary
##     0     1 
## 39118 46107
str(team_performance_rating_binary)
##  num [1:85225] 1 1 1 1 0 0 1 0 0 0 ...
summary(team_performance_rating_binary)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   0.000   0.000   1.000   0.541   1.000   1.000
# new data frame with the new scales plus the 2 ordinal variables - for logistic regression
aps_with_scales_lr <- data.frame(org_size, employee_level, job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, agency_engagement, team_performance_support, risk_culture, innovation, leadership_engagement, wellbeing, values, team_performance_rating_binary)
str(aps_with_scales_lr)
## 'data.frame':    85225 obs. of  14 variables:
##  $ org_size                      : Factor w/ 3 levels "1","2","3": 1 3 3 3 3 2 2 3 3 3 ...
##  $ employee_level                : Factor w/ 3 levels "1","2","3": 3 3 3 3 2 2 3 2 3 3 ...
##  $ job_engagement                : num  2.8 4.1 4.7 3.9 4.2 3.6 3.8 4.8 3.3 3 ...
##  $ team_engagement               : num  4 4 4.25 4 4 4.75 5 4.25 3.75 3.25 ...
##  $ supervisor_engagement         : num  3.91 4 4.82 4.36 4.73 ...
##  $ senior_manager_engagement     : num  2.83 3.67 2.67 3 3.75 ...
##  $ agency_engagement             : num  3.18 4 3.29 3.88 3.71 ...
##  $ team_performance_support      : num  3.25 4.5 3.25 4 3.75 3.75 3 4 3.5 2.25 ...
##  $ risk_culture                  : num  3 4.4 2.4 4 3.4 4 3 4 2.8 3.6 ...
##  $ innovation                    : num  3 4.4 4.2 4 3.8 4.2 2.4 3.4 2 3.4 ...
##  $ leadership_engagement         : num  3.43 3.71 2.57 3 3.86 ...
##  $ wellbeing                     : num  3.92 4.08 4.38 4.38 3.62 ...
##  $ values                        : num  5 5 3.33 4.33 5 ...
##  $ team_performance_rating_binary: num  1 1 1 1 0 0 1 0 0 0 ...
train <- aps_with_scales_lr
test <- aps_with_scales_lr_test


lrmodel <- glm(train$team_performance_rating_binary~.,data =  train, family = "binomial") 
lrmodel
## 
## Call:  glm(formula = train$team_performance_rating_binary ~ ., family = "binomial", 
##     data = train)
## 
## Coefficients:
##               (Intercept)                  org_size2  
##                  -7.51329                   -0.04672  
##                 org_size3            employee_level2  
##                  -0.06107                   -0.14624  
##           employee_level3             job_engagement  
##                  -0.09131                   -0.05827  
##           team_engagement      supervisor_engagement  
##                   0.57942                    0.04131  
## senior_manager_engagement          agency_engagement  
##                   0.07714                    0.18313  
##  team_performance_support               risk_culture  
##                   0.90048                    0.05201  
##                innovation      leadership_engagement  
##                   0.17219                   -0.08172  
##                 wellbeing                     values  
##                  -0.03651                    0.20837  
## 
## Degrees of Freedom: 85224 Total (i.e. Null);  85209 Residual
## Null Deviance:       117600 
## Residual Deviance: 97970     AIC: 98000
summary(lrmodel)
## 
## Call:
## glm(formula = train$team_performance_rating_binary ~ ., family = "binomial", 
##     data = train)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.3780  -1.0121   0.4780   0.9534   3.3596  
## 
## Coefficients:
##                           Estimate Std. Error z value Pr(>|z|)    
## (Intercept)               -7.51329    0.10372 -72.440  < 2e-16 ***
## org_size2                 -0.04672    0.04731  -0.987  0.32343    
## org_size3                 -0.06107    0.04114  -1.484  0.13772    
## employee_level2           -0.14624    0.05141  -2.845  0.00445 ** 
## employee_level3           -0.09131    0.05109  -1.787  0.07389 .  
## job_engagement            -0.05827    0.02208  -2.639  0.00832 ** 
## team_engagement            0.57942    0.01627  35.607  < 2e-16 ***
## supervisor_engagement      0.04131    0.01528   2.703  0.00687 ** 
## senior_manager_engagement  0.07714    0.01400   5.509 3.61e-08 ***
## agency_engagement          0.18313    0.02334   7.847 4.25e-15 ***
## team_performance_support   0.90048    0.01602  56.198  < 2e-16 ***
## risk_culture               0.05201    0.01653   3.147  0.00165 ** 
## innovation                 0.17219    0.01723   9.991  < 2e-16 ***
## leadership_engagement     -0.08172    0.01520  -5.377 7.58e-08 ***
## wellbeing                 -0.03651    0.02362  -1.545  0.12223    
## values                     0.20837    0.01612  12.924  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 117573  on 85224  degrees of freedom
## Residual deviance:  97968  on 85209  degrees of freedom
## AIC: 98000
## 
## Number of Fisher Scoring iterations: 4
aov(lrmodel)
## Call:
##    aov(formula = lrmodel)
## 
## Terms:
##                  org_size employee_level job_engagement team_engagement
## Sum of Squares     17.495         52.483       1902.652        1017.157
## Deg. of Freedom         2              2              1               1
##                 supervisor_engagement senior_manager_engagement
## Sum of Squares                105.979                   104.649
## Deg. of Freedom                     1                         1
##                 agency_engagement team_performance_support risk_culture
## Sum of Squares            197.307                  807.872        4.115
## Deg. of Freedom                 1                        1            1
##                 innovation leadership_engagement wellbeing    values Residuals
## Sum of Squares      19.190                 2.397     0.008    31.218 16900.442
## Deg. of Freedom          1                     1         1         1     85209
## 
## Residual standard error: 0.445355
## Estimated effects may be unbalanced
predicted <- predict(lrmodel, test, type="response")
str(predicted)
##  Named num [1:85981] 0.722 0.299 0.718 0.405 0.536 ...
##  - attr(*, "names")= chr [1:85981] "1" "2" "3" "4" ...
summary(predicted)
##     Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
## 0.003131 0.390402 0.580685 0.548726 0.716788 0.938097
predicted_class <- ifelse(predicted>=0.562, 1, 0) 

cm <- table(actual = test$team_performance_rating_binary, predicted = predicted_class)
cm
##       predicted
## actual     0     1
##      0 25403 11055
##      1 14930 34593
accuracy <- sum(diag(cm))/nrow(test)
accuracy
## [1] 0.6977821
accuracy <- (cm[1,1] + cm[2,2]) / (cm[1,1] + cm[1,2] + cm[2,1] + cm[2,2])
accuracy
## [1] 0.6977821
sensitivity <- cm[2,2] / (cm[2,2] + cm[2,1])
sensitivity
## [1] 0.6985239
# SN = TP / (TP + FN)
#quantifies how many diagnosis are predicted accurately

specificity <- cm[1,1] / (cm[1,1] + cm[1,2])
specificity
## [1] 0.6967744
# SP = TN / (TN + FP)
#measures the proportion of actual negatives that are predicted correctly 

accuracy
## [1] 0.6977821
sensitivity
## [1] 0.6985239
specificity
## [1] 0.6967744
# Ordinal logistic regression

# preparing dep var
team_performance_rating_ordReg <- mgsub(aps_reduced$team_performance_rating, c(1,2,3,4,5,6,7,8,9,10), c(0,0,0,0,1,1,1,2,2,2))
team_performance_rating_ordReg <- as.numeric(team_performance_rating_ordReg)
table(team_performance_rating_ordReg)
## team_performance_rating_ordReg
##     0     1     2 
##  5310 33808 46107
team_performance_rating_ordReg <- as.factor(team_performance_rating_ordReg)
str(team_performance_rating_ordReg)
##  Factor w/ 3 levels "0","1","2": 3 3 3 3 2 2 3 2 1 1 ...
aps_with_scales_factors_ordReg <- data.frame(org_size, employee_level, aps_with_scales_factors_excl_depVar, team_performance_rating_ordReg)
str(aps_with_scales_factors_ordReg)
## 'data.frame':    85225 obs. of  14 variables:
##  $ org_size                      : Factor w/ 3 levels "1","2","3": 1 3 3 3 3 2 2 3 3 3 ...
##  $ employee_level                : Factor w/ 3 levels "1","2","3": 3 3 3 3 2 2 3 2 3 3 ...
##  $ job_engagement_f              : Factor w/ 5 levels "1","2","3","4",..: 3 4 5 4 4 4 4 5 3 3 ...
##  $ team_engagement_f             : Factor w/ 5 levels "1","2","3","4",..: 4 4 4 4 4 5 5 4 4 3 ...
##  $ supervisor_engagement_f       : Factor w/ 5 levels "1","2","3","4",..: 4 4 5 4 5 5 5 5 3 4 ...
##  $ senior_manager_engagement_f   : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 3 4 4 2 5 2 4 ...
##  $ agency_engagement_f           : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 4 4 4 4 4 2 3 ...
##  $ team_performance_support_f    : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 4 4 4 3 4 4 2 ...
##  $ risk_culture_f                : Factor w/ 5 levels "1","2","3","4",..: 3 4 2 4 3 4 3 4 3 4 ...
##  $ innovation_f                  : Factor w/ 5 levels "1","2","3","4",..: 3 4 4 4 4 4 2 3 2 3 ...
##  $ leadership_engagement_f       : Factor w/ 5 levels "1","2","3","4",..: 3 4 3 3 4 4 3 4 2 3 ...
##  $ wellbeing_f                   : Factor w/ 5 levels "1","2","3","4",..: 4 4 4 4 4 5 4 4 2 4 ...
##  $ values_f                      : Factor w/ 5 levels "1","2","3","4",..: 5 5 3 4 5 5 5 4 4 3 ...
##  $ team_performance_rating_ordReg: Factor w/ 3 levels "0","1","2": 3 3 3 3 2 2 3 2 1 1 ...
train <- aps_with_scales_factors_ordReg
test <- aps_with_scales_factors_ordReg_test


ordered_logistic_regression <- MASS::polr(formula = team_performance_rating_ordReg~., data = train, Hess = TRUE)
summary(ordered_logistic_regression)
## Call:
## MASS::polr(formula = team_performance_rating_ordReg ~ ., data = train, 
##     Hess = TRUE)
## 
## Coefficients:
##                                  Value Std. Error  t value
## org_size2                    -0.002728    0.04505 -0.06057
## org_size3                    -0.034580    0.03913 -0.88377
## employee_level2              -0.148815    0.05058 -2.94193
## employee_level3              -0.089337    0.05015 -1.78145
## job_engagement_f2            -0.670633    0.20154 -3.32763
## job_engagement_f3            -0.589503    0.20287 -2.90576
## job_engagement_f4            -0.501373    0.20334 -2.46564
## job_engagement_f5            -0.532689    0.20558 -2.59120
## team_engagement_f2            0.113494    0.13716  0.82748
## team_engagement_f3            0.619320    0.13764  4.49941
## team_engagement_f4            1.213120    0.13723  8.84029
## team_engagement_f5            1.773257    0.13839 12.81348
## supervisor_engagement_f2     -0.118107    0.09918 -1.19088
## supervisor_engagement_f3     -0.098675    0.09703 -1.01696
## supervisor_engagement_f4      0.043736    0.09736  0.44923
## supervisor_engagement_f5      0.136278    0.09849  1.38363
## senior_manager_engagement_f2 -0.089141    0.06779 -1.31497
## senior_manager_engagement_f3  0.006263    0.06837  0.09160
## senior_manager_engagement_f4  0.091558    0.06930  1.32122
## senior_manager_engagement_f5  0.191437    0.07255  2.63860
## agency_engagement_f2          0.159063    0.11535  1.37892
## agency_engagement_f3          0.229798    0.11851  1.93899
## agency_engagement_f4          0.385266    0.12013  3.20711
## agency_engagement_f5          0.600802    0.12731  4.71923
## team_performance_support_f2   0.840029    0.13145  6.39066
## team_performance_support_f3   1.776870    0.13236 13.42415
## team_performance_support_f4   2.502154    0.13280 18.84212
## team_performance_support_f5   3.144781    0.13765 22.84699
## risk_culture_f2               0.054840    0.07250  0.75637
## risk_culture_f3               0.142273    0.07184  1.98031
## risk_culture_f4               0.269186    0.07334  3.67027
## risk_culture_f5               0.386510    0.08735  4.42484
## innovation_f2                 0.086615    0.09309  0.93043
## innovation_f3                 0.299926    0.09380  3.19749
## innovation_f4                 0.472305    0.09512  4.96540
## innovation_f5                 0.551686    0.10127  5.44763
## leadership_engagement_f2     -0.067101    0.04840 -1.38635
## leadership_engagement_f3     -0.117898    0.04854 -2.42867
## leadership_engagement_f4     -0.139697    0.05129 -2.72388
## leadership_engagement_f5     -0.142551    0.06247 -2.28207
## wellbeing_f2                  0.245565    0.17193  1.42832
## wellbeing_f3                  0.253963    0.17583  1.44440
## wellbeing_f4                  0.275339    0.17701  1.55547
## wellbeing_f5                  0.361602    0.18225  1.98405
## values_f2                     0.705251    0.29304  2.40665
## values_f3                     0.928968    0.28703  3.23646
## values_f4                     1.151129    0.28745  4.00457
## values_f5                     1.340900    0.28782  4.65874
## 
## Intercepts:
##     Value   Std. Error t value
## 0|1  1.8784  0.3357     5.5960
## 1|2  5.1325  0.3362    15.2651
## 
## Residual Deviance: 124338.13 
## AIC: 124438.13
coeffs <- coef(summary(ordered_logistic_regression))
p <- pnorm(abs(coeffs[,"t value"]), lower.tail = FALSE) * 2
cbind(coeffs, "p value" = round(p,3))
##                                     Value Std. Error     t value p value
## org_size2                    -0.002728451 0.04504695 -0.06056905   0.952
## org_size3                    -0.034580028 0.03912801 -0.88376659   0.377
## employee_level2              -0.148814735 0.05058402 -2.94193163   0.003
## employee_level3              -0.089336895 0.05014853 -1.78144584   0.075
## job_engagement_f2            -0.670633110 0.20153505 -3.32762524   0.001
## job_engagement_f3            -0.589502795 0.20287395 -2.90575896   0.004
## job_engagement_f4            -0.501373409 0.20334423 -2.46563872   0.014
## job_engagement_f5            -0.532688684 0.20557630 -2.59119693   0.010
## team_engagement_f2            0.113494478 0.13715638  0.82748230   0.408
## team_engagement_f3            0.619320054 0.13764475  4.49940916   0.000
## team_engagement_f4            1.213120347 0.13722628  8.84029141   0.000
## team_engagement_f5            1.773257294 0.13839000 12.81347860   0.000
## supervisor_engagement_f2     -0.118106577 0.09917608 -1.19087770   0.234
## supervisor_engagement_f3     -0.098674891 0.09702881 -1.01696482   0.309
## supervisor_engagement_f4      0.043736420 0.09735916  0.44922758   0.653
## supervisor_engagement_f5      0.136277661 0.09849251  1.38363483   0.166
## senior_manager_engagement_f2 -0.089141418 0.06778964 -1.31497116   0.189
## senior_manager_engagement_f3  0.006262580 0.06837015  0.09159817   0.927
## senior_manager_engagement_f4  0.091558119 0.06929833  1.32121685   0.186
## senior_manager_engagement_f5  0.191437452 0.07255271  2.63859827   0.008
## agency_engagement_f2          0.159063352 0.11535369  1.37891860   0.168
## agency_engagement_f3          0.229798105 0.11851448  1.93898764   0.053
## agency_engagement_f4          0.385266265 0.12012867  3.20711349   0.001
## agency_engagement_f5          0.600802419 0.12730940  4.71923044   0.000
## team_performance_support_f2   0.840029140 0.13144639  6.39065972   0.000
## team_performance_support_f3   1.776870073 0.13236367 13.42415197   0.000
## team_performance_support_f4   2.502154078 0.13279576 18.84212292   0.000
## team_performance_support_f5   3.144780630 0.13764530 22.84698874   0.000
## risk_culture_f2               0.054839867 0.07250440  0.75636608   0.449
## risk_culture_f3               0.142273377 0.07184411  1.98030673   0.048
## risk_culture_f4               0.269186282 0.07334230  3.67027328   0.000
## risk_culture_f5               0.386509913 0.08734997  4.42484326   0.000
## innovation_f2                 0.086615250 0.09309204  0.93042591   0.352
## innovation_f3                 0.299926429 0.09380072  3.19748546   0.001
## innovation_f4                 0.472304703 0.09511915  4.96540076   0.000
## innovation_f5                 0.551686420 0.10127086  5.44763219   0.000
## leadership_engagement_f2     -0.067101446 0.04840156 -1.38634877   0.166
## leadership_engagement_f3     -0.117897799 0.04854409 -2.42867452   0.015
## leadership_engagement_f4     -0.139697150 0.05128613 -2.72387753   0.006
## leadership_engagement_f5     -0.142550949 0.06246566 -2.28206895   0.022
## wellbeing_f2                  0.245564820 0.17192525  1.42832316   0.153
## wellbeing_f3                  0.253962664 0.17582546  1.44440213   0.149
## wellbeing_f4                  0.275338996 0.17701379  1.55546639   0.120
## wellbeing_f5                  0.361602076 0.18225460  1.98404906   0.047
## values_f2                     0.705250760 0.29304259  2.40664936   0.016
## values_f3                     0.928968474 0.28703255  3.23645684   0.001
## values_f4                     1.151128832 0.28745357  4.00457304   0.000
## values_f5                     1.340899780 0.28782484  4.65873537   0.000
## 0|1                           1.878429232 0.33567219  5.59602289   0.000
## 1|2                           5.132536619 0.33622672 15.26510615   0.000
predicted <- predict(ordered_logistic_regression, test, type = "class")
head(predicted)
## [1] 2 1 2 2 2 1
## Levels: 0 1 2
str(predicted)
##  Factor w/ 3 levels "0","1","2": 3 2 3 3 3 2 3 2 3 2 ...
summary(predicted)
##     0     1     2 
##  1402 26986 57593
cm <- table(actual = test$team_performance_rating_ordReg, predicted = predicted)
cm
##       predicted
## actual     0     1     2
##      0   839  2959   650
##      1   461 15342 16207
##      2   102  8685 40736
accuracy <- sum(diag(cm))/nrow(test)
accuracy
## [1] 0.6619718
# sensitivity: (TP) / (TP + FN)
sensitivity_low <- cm[1,1] / (cm[1,1] + cm[1,2] + cm[1,3])
sensitivity_low                       
## [1] 0.1886241
sensitivity_medium <- cm[2,2] / (cm[2,2] + cm[2,1] + cm[2,3])
sensitivity_medium                    
## [1] 0.4792877
sensitivity_high <- cm[3,3] / (cm[3,3] + cm[3,1] + cm[3,2])
sensitivity_high                    
## [1] 0.8225673
sensitivity <- c(low = sensitivity_low, medium = sensitivity_medium, high = sensitivity_high)
sensitivity
##       low    medium      high 
## 0.1886241 0.4792877 0.8225673
# specificity: (TN) / (TN + FP)
specificity_low <- (cm[2,2] + cm[2,3] + cm[3,2] + cm[3,3]) / (cm[2,2] + cm[2,3] + cm[3,2] + cm[3,3] + cm[2,1] + cm[3,1])
specificity_low
## [1] 0.9930948
specificity_medium <- (cm[1,1] + cm[1,3] + cm[3,1] + cm[3,3]) / (cm[1,1] + cm[1,3] + cm[3,1] + cm[3,3] + cm[1,2] + cm[3,2])
specificity_medium
## [1] 0.7842545
specificity_high <- (cm[1,1] + cm[1,2] + cm[2,1] + cm[2,2]) / (cm[1,1] + cm[1,2] + cm[2,1] + cm[2,2] + cm[2,3] + cm[1,3])
specificity_high
## [1] 0.5376323
specificity <- c(low = specificity_low, medium = specificity_medium, high = specificity_high)
specificity
##       low    medium      high 
## 0.9930948 0.7842545 0.5376323
# Decision tree using logitic regression aps_with_scales_lr data set

#simplified decision tree
aps_decision_tree <- ctree(
  team_performance_rating_binary ~., 
  data = aps_with_scales_lr,
  control = ctree_control(maxdepth = 4)
)
print(aps_decision_tree)
## 
##   Conditional inference tree with 16 terminal nodes
## 
## Response:  team_performance_rating_binary 
## Inputs:  org_size, employee_level, job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, agency_engagement, team_performance_support, risk_culture, innovation, leadership_engagement, wellbeing, values 
## Number of observations:  85225 
## 
## 1) team_performance_support <= 3.5; criterion = 1, statistic = 14329.924
##   2) team_engagement <= 3.75; criterion = 1, statistic = 2786.283
##     3) team_performance_support <= 2.75; criterion = 1, statistic = 727.231
##       4) team_performance_support <= 2.5; criterion = 1, statistic = 112.075
##         5)*  weights = 4714 
##       4) team_performance_support > 2.5
##         6)*  weights = 2070 
##     3) team_performance_support > 2.75
##       7) values <= 3.666667; criterion = 1, statistic = 131.714
##         8)*  weights = 3780 
##       7) values > 3.666667
##         9)*  weights = 5139 
##   2) team_engagement > 3.75
##     10) team_performance_support <= 2.75; criterion = 1, statistic = 733.057
##       11) team_engagement <= 4.5; criterion = 1, statistic = 80.159
##         12)*  weights = 3613 
##       11) team_engagement > 4.5
##         13)*  weights = 851 
##     10) team_performance_support > 2.75
##       14) team_engagement <= 4.5; criterion = 1, statistic = 373.119
##         15)*  weights = 12452 
##       14) team_engagement > 4.5
##         16)*  weights = 3718 
## 1) team_performance_support > 3.5
##   17) team_engagement <= 4.5; criterion = 1, statistic = 2596.657
##     18) agency_engagement <= 3.823529; criterion = 1, statistic = 848.386
##       19) team_engagement <= 3.5; criterion = 1, statistic = 375.83
##         20)*  weights = 2812 
##       19) team_engagement > 3.5
##         21)*  weights = 14614 
##     18) agency_engagement > 3.823529
##       22) team_performance_support <= 4.25; criterion = 1, statistic = 289.104
##         23)*  weights = 11833 
##       22) team_performance_support > 4.25
##         24)*  weights = 3054 
##   17) team_engagement > 4.5
##     25) team_performance_support <= 4.25; criterion = 1, statistic = 513.79
##       26) agency_engagement <= 3.882353; criterion = 1, statistic = 77.903
##         27)*  weights = 3729 
##       26) agency_engagement > 3.882353
##         28)*  weights = 4941 
##     25) team_performance_support > 4.25
##       29) innovation <= 4.2; criterion = 1, statistic = 89.486
##         30)*  weights = 3582 
##       29) innovation > 4.2
##         31)*  weights = 4323
plot(aps_decision_tree, type="simple")

#full decision tree
aps_decision_tree <- ctree(
  team_performance_rating_binary ~., 
  data = aps_with_scales_lr)
print(aps_decision_tree)
## 
##   Conditional inference tree with 90 terminal nodes
## 
## Response:  team_performance_rating_binary 
## Inputs:  org_size, employee_level, job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, agency_engagement, team_performance_support, risk_culture, innovation, leadership_engagement, wellbeing, values 
## Number of observations:  85225 
## 
## 1) team_performance_support <= 3.5; criterion = 1, statistic = 14329.924
##   2) team_engagement <= 3.75; criterion = 1, statistic = 2786.283
##     3) team_performance_support <= 2.75; criterion = 1, statistic = 727.231
##       4) team_performance_support <= 2.5; criterion = 1, statistic = 112.075
##         5) values <= 3.333333; criterion = 1, statistic = 46.795
##           6) team_performance_support <= 2; criterion = 0.997, statistic = 13.506
##             7)*  weights = 1219 
##           6) team_performance_support > 2
##             8) team_engagement <= 3.5; criterion = 0.983, statistic = 10.344
##               9)*  weights = 1020 
##             8) team_engagement > 3.5
##               10)*  weights = 97 
##         5) values > 3.333333
##           11) team_performance_support <= 2.25; criterion = 0.987, statistic = 10.842
##             12)*  weights = 1300 
##           11) team_performance_support > 2.25
##             13) team_engagement <= 3; criterion = 0.998, statistic = 14.075
##               14)*  weights = 398 
##             13) team_engagement > 3
##               15)*  weights = 680 
##       4) team_performance_support > 2.5
##         16) job_engagement <= 3.2; criterion = 0.996, statistic = 12.85
##           17)*  weights = 968 
##         16) job_engagement > 3.2
##           18) team_engagement <= 3; criterion = 0.966, statistic = 9.003
##             19)*  weights = 359 
##           18) team_engagement > 3
##             20)*  weights = 743 
##     3) team_performance_support > 2.75
##       21) values <= 3.666667; criterion = 1, statistic = 131.714
##         22) team_performance_support <= 3; criterion = 1, statistic = 41.477
##           23) team_engagement <= 3.5; criterion = 1, statistic = 18.444
##             24)*  weights = 1375 
##           23) team_engagement > 3.5
##             25)*  weights = 289 
##         22) team_performance_support > 3
##           26) team_engagement <= 3; criterion = 0.999, statistic = 15.65
##             27)*  weights = 812 
##           26) team_engagement > 3
##             28)*  weights = 1304 
##       21) values > 3.666667
##         29) innovation <= 3.4; criterion = 1, statistic = 39.802
##           30) team_engagement <= 3.5; criterion = 1, statistic = 21.726
##             31) org_size == {1}; criterion = 0.976, statistic = 12.564
##               32)*  weights = 64 
##             31) org_size == {2, 3}
##               33)*  weights = 2133 
##           30) team_engagement > 3.5
##             34)*  weights = 1239 
##         29) innovation > 3.4
##           35) team_performance_support <= 3; criterion = 1, statistic = 22.39
##             36)*  weights = 465 
##           35) team_performance_support > 3
##             37) values <= 4.333333; criterion = 0.987, statistic = 10.819
##               38)*  weights = 806 
##             37) values > 4.333333
##               39)*  weights = 432 
##   2) team_engagement > 3.75
##     40) team_performance_support <= 2.75; criterion = 1, statistic = 733.057
##       41) team_engagement <= 4.5; criterion = 1, statistic = 80.159
##         42) team_performance_support <= 2.25; criterion = 1, statistic = 41.566
##           43)*  weights = 883 
##         42) team_performance_support > 2.25
##           44) values <= 4; criterion = 1, statistic = 29.012
##             45)*  weights = 1583 
##           44) values > 4
##             46) risk_culture <= 3.4; criterion = 0.994, statistic = 12.195
##               47)*  weights = 825 
##             46) risk_culture > 3.4
##               48)*  weights = 322 
##       41) team_engagement > 4.5
##         49) team_performance_support <= 2.5; criterion = 1, statistic = 22.379
##           50)*  weights = 423 
##         49) team_performance_support > 2.5
##           51)*  weights = 428 
##     40) team_performance_support > 2.75
##       52) team_engagement <= 4.5; criterion = 1, statistic = 373.119
##         53) innovation <= 3.4; criterion = 1, statistic = 111.486
##           54) team_performance_support <= 3.25; criterion = 1, statistic = 58.046
##             55) values <= 4; criterion = 1, statistic = 24.036
##               56) team_engagement <= 4; criterion = 0.996, statistic = 13.17
##                 57)*  weights = 1796 
##               56) team_engagement > 4
##                 58)*  weights = 496 
##             55) values > 4
##               59)*  weights = 1862 
##           54) team_performance_support > 3.25
##             60) senior_manager_engagement <= 4.833333; criterion = 0.973, statistic = 9.45
##               61)*  weights = 2620 
##             60) senior_manager_engagement > 4.833333
##               62)*  weights = 75 
##         53) innovation > 3.4
##           63) values <= 4.666667; criterion = 1, statistic = 32.581
##             64) team_performance_support <= 3.25; criterion = 1, statistic = 18.163
##               65)*  weights = 2034 
##             64) team_performance_support > 3.25
##               66)*  weights = 1921 
##           63) values > 4.666667
##             67)*  weights = 1648 
##       52) team_engagement > 4.5
##         68) team_performance_support <= 3; criterion = 1, statistic = 61.627
##           69)*  weights = 941 
##         68) team_performance_support > 3
##           70) job_engagement <= 3.9; criterion = 1, statistic = 19.138
##             71)*  weights = 1313 
##           70) job_engagement > 3.9
##             72)*  weights = 1464 
## 1) team_performance_support > 3.5
##   73) team_engagement <= 4.5; criterion = 1, statistic = 2596.657
##     74) agency_engagement <= 3.823529; criterion = 1, statistic = 848.386
##       75) team_engagement <= 3.5; criterion = 1, statistic = 375.83
##         76) team_performance_support <= 3.75; criterion = 1, statistic = 35.599
##           77)*  weights = 1086 
##         76) team_performance_support > 3.75
##           78) innovation <= 3.8; criterion = 1, statistic = 22.913
##             79) team_engagement <= 3; criterion = 0.996, statistic = 13.181
##               80)*  weights = 502 
##             79) team_engagement > 3
##               81)*  weights = 820 
##           78) innovation > 3.8
##             82)*  weights = 404 
##       75) team_engagement > 3.5
##         83) team_performance_support <= 3.75; criterion = 1, statistic = 251.63
##           84) values <= 4; criterion = 1, statistic = 18.37
##             85) team_engagement <= 3.75; criterion = 0.957, statistic = 8.574
##               86)*  weights = 467 
##             85) team_engagement > 3.75
##               87)*  weights = 1638 
##           84) values > 4
##             88)*  weights = 2395 
##         83) team_performance_support > 3.75
##           89) wellbeing <= 3.769231; criterion = 1, statistic = 96.347
##             90) supervisor_engagement <= 3.636364; criterion = 1, statistic = 44.366
##               91) team_performance_support <= 4; criterion = 0.985, statistic = 10.492
##                 92)*  weights = 740 
##               91) team_performance_support > 4
##                 93)*  weights = 215 
##             90) supervisor_engagement > 3.636364
##               94) innovation <= 3.4; criterion = 1, statistic = 23.831
##                 95) team_engagement <= 4; criterion = 0.965, statistic = 8.956
##                   96)*  weights = 1689 
##                 95) team_engagement > 4
##                   97)*  weights = 494 
##               94) innovation > 3.4
##                 98) team_engagement <= 4; criterion = 0.999, statistic = 14.977
##                   99) team_performance_support <= 4; criterion = 0.986, statistic = 10.625
##                     100) agency_engagement <= 3.352941; criterion = 0.984, statistic = 10.402
##                       101)*  weights = 390 
##                     100) agency_engagement > 3.352941
##                       102)*  weights = 1186 
##                   99) team_performance_support > 4
##                     103)*  weights = 312 
##                 98) team_engagement > 4
##                   104)*  weights = 524 
##           89) wellbeing > 3.769231
##             105) team_performance_support <= 4; criterion = 1, statistic = 43.09
##               106) innovation <= 3.8; criterion = 0.981, statistic = 10.153
##                 107) values <= 4; criterion = 0.986, statistic = 10.675
##                   108)*  weights = 702 
##                 107) values > 4
##                   109)*  weights = 1291 
##               106) innovation > 3.8
##                 110)*  weights = 1223 
##             105) team_performance_support > 4
##               111)*  weights = 1348 
##     74) agency_engagement > 3.823529
##       112) team_performance_support <= 4.25; criterion = 1, statistic = 289.104
##         113) team_performance_support <= 3.75; criterion = 1, statistic = 86.265
##           114) senior_manager_engagement <= 3.833333; criterion = 1, statistic = 21.45
##             115) innovation <= 3.8; criterion = 0.993, statistic = 11.883
##               116)*  weights = 461 
##             115) innovation > 3.8
##               117)*  weights = 270 
##           114) senior_manager_engagement > 3.833333
##             118) team_engagement <= 3.5; criterion = 0.951, statistic = 8.34
##               119)*  weights = 101 
##             118) team_engagement > 3.5
##               120)*  weights = 1381 
##         113) team_performance_support > 3.75
##           121) values <= 4.666667; criterion = 1, statistic = 69.373
##             122) wellbeing <= 3.769231; criterion = 1, statistic = 23.046
##               123) team_engagement <= 3; criterion = 0.999, statistic = 15.1
##                 124)*  weights = 42 
##               123) team_engagement > 3
##                 125)*  weights = 1817 
##             122) wellbeing > 3.769231
##               126) risk_culture <= 3.6; criterion = 0.989, statistic = 11.16
##                 127)*  weights = 1260 
##               126) risk_culture > 3.6
##                 128)*  weights = 2536 
##           121) values > 4.666667
##             129) wellbeing <= 3.615385; criterion = 1, statistic = 28.132
##               130) supervisor_engagement <= 3.454545; criterion = 0.991, statistic = 11.592
##                 131)*  weights = 32 
##               130) supervisor_engagement > 3.454545
##                 132)*  weights = 342 
##             129) wellbeing > 3.615385
##               133) risk_culture <= 3.8; criterion = 1, statistic = 21.403
##                 134) employee_level == {3}; criterion = 0.95, statistic = 11.078
##                   135)*  weights = 1044 
##                 134) employee_level == {1, 2}
##                   136)*  weights = 537 
##               133) risk_culture > 3.8
##                 137)*  weights = 2010 
##       112) team_performance_support > 4.25
##         138) values <= 4.333333; criterion = 1, statistic = 26.044
##           139)*  weights = 865 
##         138) values > 4.333333
##           140)*  weights = 2189 
##   73) team_engagement > 4.5
##     141) team_performance_support <= 4.25; criterion = 1, statistic = 513.79
##       142) agency_engagement <= 3.882353; criterion = 1, statistic = 77.903
##         143) team_engagement <= 4.75; criterion = 1, statistic = 18.329
##           144) senior_manager_engagement <= 3.833333; criterion = 0.96, statistic = 8.705
##             145)*  weights = 612 
##           144) senior_manager_engagement > 3.833333
##             146)*  weights = 632 
##         143) team_engagement > 4.75
##           147) supervisor_engagement <= 4.818182; criterion = 0.983, statistic = 10.278
##             148)*  weights = 1259 
##           147) supervisor_engagement > 4.818182
##             149)*  weights = 1226 
##       142) agency_engagement > 3.882353
##         150) team_performance_support <= 3.75; criterion = 1, statistic = 36.522
##           151) senior_manager_engagement <= 3.5; criterion = 0.983, statistic = 10.305
##             152)*  weights = 102 
##           151) senior_manager_engagement > 3.5
##             153)*  weights = 753 
##         150) team_performance_support > 3.75
##           154) senior_manager_engagement <= 4.666667; criterion = 0.99, statistic = 11.262
##             155)*  weights = 2377 
##           154) senior_manager_engagement > 4.666667
##             156) supervisor_engagement <= 4.545455; criterion = 0.968, statistic = 9.134
##               157) team_performance_support <= 4; criterion = 0.984, statistic = 10.454
##                 158) team_engagement <= 4.75; criterion = 0.98, statistic = 10.045
##                   159)*  weights = 38 
##                 158) team_engagement > 4.75
##                   160)*  weights = 78 
##               157) team_performance_support > 4
##                 161)*  weights = 80 
##             156) supervisor_engagement > 4.545455
##               162)*  weights = 1513 
##     141) team_performance_support > 4.25
##       163) innovation <= 4.2; criterion = 1, statistic = 89.486
##         164) agency_engagement <= 4.117647; criterion = 0.999, statistic = 16.932
##           165)*  weights = 1770 
##         164) agency_engagement > 4.117647
##           166) team_performance_support <= 4.5; criterion = 0.994, statistic = 12.422
##             167)*  weights = 691 
##           166) team_performance_support > 4.5
##             168) values <= 4.333333; criterion = 0.99, statistic = 11.225
##               169) team_engagement <= 4.75; criterion = 0.951, statistic = 8.344
##                 170)*  weights = 33 
##               169) team_engagement > 4.75
##                 171)*  weights = 109 
##             168) values > 4.333333
##               172)*  weights = 979 
##       163) innovation > 4.2
##         173) wellbeing <= 4.615385; criterion = 1, statistic = 26.731
##           174) values <= 4.666667; criterion = 0.992, statistic = 11.745
##             175)*  weights = 753 
##           174) values > 4.666667
##             176) senior_manager_engagement <= 4.333333; criterion = 0.997, statistic = 13.532
##               177)*  weights = 435 
##             176) senior_manager_engagement > 4.333333
##               178)*  weights = 1524 
##         173) wellbeing > 4.615385
##           179)*  weights = 1611
plot(aps_decision_tree, type="simple")

aps_decision_tree_prediction <- predict(aps_decision_tree, aps_with_scales_lr_test) 
head(aps_decision_tree_prediction)
##      team_performance_rating_binary
## [1,]                      0.6830601
## [2,]                      0.2545710
## [3,]                      0.7356322
## [4,]                      0.4976636
## [5,]                      0.6666667
## [6,]                      0.4119227
str(aps_decision_tree_prediction)
##  num [1:85981, 1] 0.683 0.255 0.736 0.498 0.667 ...
##  - attr(*, "dimnames")=List of 2
##   ..$ : NULL
##   ..$ : chr "team_performance_rating_binary"
summary(aps_decision_tree_prediction)
##  team_performance_rating_binary
##  Min.   :0.04348               
##  1st Qu.:0.40323               
##  Median :0.57550               
##  Mean   :0.55396               
##  3rd Qu.:0.74104               
##  Max.   :0.93048
predicted_class <- ifelse(aps_decision_tree_prediction>=0.56, 1, 0) 

cm <- table(actual = aps_with_scales_lr_test$team_performance_rating_binary, predicted = predicted_class)
cm
##       predicted
## actual     0     1
##      0 25760 10698
##      1 15654 33869
accuracy <- (cm[1,1] + cm[2,2]) / (cm[1,1] + cm[1,2] + cm[2,1] + cm[2,2])
accuracy
## [1] 0.6935137
sensitivity <- cm[2,2] / (cm[2,2] + cm[2,1])
sensitivity
## [1] 0.6839044
specificity <- cm[1,1] / (cm[1,1] + cm[1,2])
specificity
## [1] 0.7065665
accuracy
## [1] 0.6935137
sensitivity
## [1] 0.6839044
specificity
## [1] 0.7065665
#k-means clustering - analyzing APS data using binary dependent variable scale
aps_with_scales_k2 <- data.frame(job_engagement, team_engagement, supervisor_engagement, senior_manager_engagement, agency_engagement, team_performance_support, risk_culture, innovation, leadership_engagement, wellbeing, values, team_performance_rating_binary)

aps_with_scales_kmeans <- aps_with_scales_k2[-aps_with_scales_k2$team_performance_rating_binary]
aps_kmeans<- kmeans(aps_with_scales_kmeans, 6) 
aps_kmeans
## K-means clustering with 6 clusters of sizes 8082, 13768, 26844, 15983, 4325, 16223
## 
## Cluster means:
##   team_engagement supervisor_engagement senior_manager_engagement
## 1        3.870638              3.859913                  2.542605
## 2        4.754558              4.860256                  4.664482
## 3        4.187342              4.278498                  4.132981
## 4        4.284490              4.365843                  3.334553
## 5        2.665434              2.444540                  2.239692
## 6        3.623004              3.548038                  3.466570
##   agency_engagement team_performance_support risk_culture innovation
## 1          2.750681                 3.098181     2.699827   2.817273
## 2          4.446885                 4.478991     4.184021   4.437042
## 3          3.866867                 3.854483     3.638496   3.788288
## 4          3.523508                 3.797801     3.363561   3.559019
## 5          2.323468                 2.372312     2.265896   2.247769
## 6          3.270901                 3.199223     3.161536   3.174209
##   leadership_engagement wellbeing   values team_performance_rating_binary
## 1              2.077898  3.082662 3.906624                      0.3327147
## 2              4.367062  4.334153 4.832801                      0.8538640
## 3              3.848096  3.867113 4.553060                      0.6301222
## 4              2.937299  3.739733 4.381113                      0.6511293
## 5              2.076069  2.368484 3.108825                      0.1132948
## 6              3.250376  3.276279 3.943989                      0.2373174
## 
## Clustering vector:
##     [1] 4 3 4 4 3 3 4 3 5 6 6 1 3 3 2 2 3 3 5 6 6 4 6 2 6 3 6 4 2 6 5 3 3 3 6 3
##    [37] 6 4 5 3 1 4 4 3 6 2 3 4 6 6 3 4 1 3 6 3 2 6 3 6 2 5 2 6 4 1 6 3 1 4 5 4
##    [73] 3 4 3 3 3 1 3 5 6 6 6 5 4 3 3 1 1 5 3 4 3 4 3 3 4 6 6 4 3 4 4 6 6 3 4 2
##   [109] 4 3 4 1 3 6 6 3 4 4 5 6 4 6 3 1 6 3 4 1 3 2 3 1 6 6 4 3 6 1 6 1 2 6 3 6
##   [145] 3 4 2 2 1 4 3 3 3 3 4 2 3 4 2 4 2 3 4 4 5 3 3 4 2 2 4 2 3 1 4 4 4 2 1 2
##   [181] 3 4 3 6 6 4 6 3 4 6 6 3 1 6 1 6 3 3 2 3 1 5 6 2 5 3 6 6 3 3 4 4 5 2 6 6
##   [217] 6 3 6 4 3 2 4 4 6 3 3 3 3 3 2 3 6 6 6 3 6 5 1 3 5 3 3 6 2 4 3 4 1 4 6 2
##   [253] 1 5 6 4 6 2 3 4 6 6 4 4 6 2 2 2 3 6 5 4 2 3 4 4 2 4 6 2 6 6 6 3 6 4 3 4
##   [289] 3 3 4 4 1 3 1 4 4 3 4 2 4 4 3 6 2 2 3 1 3 3 6 3 3 2 4 4 2 2 3 4 5 4 5 3
##   [325] 3 5 6 6 6 4 6 6 3 2 2 3 4 4 3 5 1 3 4 3 1 4 6 2 1 2 3 2 1 6 3 3 4 6 3 2
##   [361] 2 3 3 4 3 1 3 4 6 2 3 1 2 6 3 4 1 3 1 6 4 6 6 3 2 2 1 2 3 6 4 2 1 3 4 2
##   [397] 6 4 3 3 6 1 3 5 4 5 1 4 6 2 3 6 3 3 2 3 2 3 6 3 2 3 2 6 3 6 1 2 2 3 3 3
##   [433] 3 3 6 4 6 6 4 2 4 4 3 5 4 6 2 2 3 6 4 2 3 3 6 6 1 3 3 3 4 5 4 1 4 4 6 3
##   [469] 4 3 6 4 2 4 2 5 6 3 3 4 3 1 2 1 4 4 2 3 2 4 3 6 3 2 4 6 4 1 2 6 4 4 5 2
##   [505] 3 1 6 4 3 6 6 2 5 5 3 3 3 3 4 2 4 2 2 1 6 3 1 6 3 3 4 6 4 1 3 2 2 3 3 3
##   [541] 6 4 2 2 4 1 2 2 6 4 6 1 1 4 1 1 3 6 4 1 3 4 4 6 2 6 2 3 1 3 2 2 4 3 4 4
##   [577] 4 4 5 6 4 3 5 5 4 3 6 2 3 3 3 1 3 6 3 6 6 4 2 3 2 1 3 4 6 5 1 3 6 1 2 5
##   [613] 4 3 3 6 3 2 6 3 4 3 6 6 6 1 2 3 3 3 6 5 1 3 3 2 4 1 4 2 3 1 3 3 2 3 1 5
##   [649] 4 1 1 2 3 3 6 6 5 3 1 3 3 2 1 6 3 3 2 3 4 3 3 3 1 4 2 4 4 5 3 3 6 3 6 3
##   [685] 3 3 1 3 6 3 4 3 4 4 6 3 3 2 2 4 3 1 6 1 3 2 3 5 3 2 2 2 3 2 2 6 3 2 2 4
##   [721] 3 3 6 3 4 2 4 3 3 4 2 5 3 3 4 3 4 4 4 4 2 4 4 3 6 4 3 6 6 3 3 4 4 2 3 3
##   [757] 5 6 6 3 4 3 6 5 1 3 3 4 4 1 6 4 1 2 3 4 4 4 3 3 6 3 3 6 3 6 3 4 6 2 3 3
##   [793] 2 3 2 2 4 3 4 3 3 3 4 3 2 3 1 3 4 4 1 1 1 5 2 6 4 5 4 5 4 6 6 3 3 4 1 4
##   [829] 3 3 4 6 2 4 3 6 2 5 3 1 2 1 1 3 1 3 6 6 4 2 4 2 6 1 3 2 4 2 2 3 3 4 2 2
##   [865] 4 3 2 3 6 3 6 4 3 3 3 1 6 5 4 3 3 4 3 3 2 3 2 6 3 2 1 2 1 2 1 4 2 6 3 4
##   [901] 6 4 6 3 3 5 6 3 3 4 3 6 2 3 1 4 1 4 1 6 6 3 3 1 3 3 2 3 6 2 5 3 3 3 4 6
##   [937] 6 4 6 4 1 4 5 6 6 6 3 5 4 6 3 3 6 1 4 6 3 1 6 1 4 3 3 4 3 3 1 6 6 1 4 2
##   [973] 3 3 6 6 2 3 3 2 4 3 3 1 2 3 4 3 6 5 3 3 4 3 6 4 4 6 4 1 4 3 4 3 2 3 6 3
##  [1009] 6 2 4 3 3 3 4 4 3 5 5 1 5 3 3 4 2 2 4 6 3 4 2 3 2 6 3 3 3 5 6 2 3 4 3 3
##  [1045] 6 3 5 4 3 6 3 2 3 5 3 6 6 3 5 3 5 3 1 6 6 1 4 4 6 3 6 6 3 6 3 4 3 5 2 6
##  [1081] 2 5 3 2 3 3 4 3 4 2 6 3 3 3 6 4 4 6 3 1 4 2 3 4 1 6 6 3 3 3 3 1 2 3 4 3
##  [1117] 2 4 6 4 3 5 4 3 3 4 4 4 6 3 4 3 1 4 6 6 3 3 3 2 4 3 4 4 4 2 6 1 3 3 4 1
##  [1153] 3 3 2 3 3 4 1 1 3 3 6 2 4 2 5 2 3 6 6 2 3 2 4 1 2 6 2 3 2 2 1 6 6 3 3 3
##  [1189] 2 6 1 6 3 1 2 3 1 3 1 4 4 3 4 3 5 1 4 2 3 4 2 2 3 6 5 4 2 3 3 4 1 4 5 6
##  [1225] 4 3 3 1 1 3 3 5 2 5 6 4 3 6 6 3 2 4 2 2 3 3 6 6 6 6 4 3 2 2 2 3 2 2 3 2
##  [1261] 4 4 1 2 6 6 2 3 3 2 5 4 1 1 3 2 6 3 6 6 4 6 3 4 2 3 6 2 6 4 2 3 1 3 6 3
##  [1297] 3 4 3 2 4 3 1 1 3 4 6 5 3 5 3 6 5 3 1 2 3 6 2 6 6 3 2 6 3 2 6 3 2 3 2 3
##  [1333] 4 3 6 1 1 5 4 6 1 3 4 3 1 6 2 4 1 3 2 1 1 3 3 2 4 3 3 2 3 1 4 4 4 3 4 6
##  [1369] 4 1 5 2 2 6 1 3 3 1 1 6 3 6 4 4 4 6 4 3 6 4 3 5 3 4 1 4 5 3 2 6 2 6 2 3
##  [1405] 3 4 6 4 2 3 4 3 2 2 4 1 4 6 4 3 4 6 4 3 3 2 6 3 3 6 1 2 4 4 4 4 3 4 4 4
##  [1441] 4 4 1 2 5 3 1 6 6 2 6 1 2 1 2 5 2 3 6 1 6 2 6 3 6 2 3 6 2 4 2 4 6 1 4 1
##  [1477] 4 5 4 6 6 4 2 2 3 6 5 6 3 3 3 5 6 6 3 3 4 3 4 3 2 4 3 4 3 3 6 3 6 1 4 4
##  [1513] 2 3 4 1 6 1 6 6 3 4 2 3 3 3 2 2 1 6 3 6 4 2 6 6 6 3 1 6 3 6 2 4 3 2 4 3
##  [1549] 5 2 3 4 2 6 3 4 2 5 1 3 6 3 5 2 1 5 6 3 6 3 3 6 4 6 1 2 3 3 6 1 5 2 4 2
##  [1585] 4 3 1 3 2 6 5 4 5 3 2 3 1 6 6 4 6 3 6 1 6 1 4 4 6 6 1 4 1 6 1 6 1 6 2 5
##  [1621] 4 3 3 4 6 2 2 3 3 6 3 4 6 3 3 3 4 1 4 4 3 6 6 3 3 6 2 2 3 3 4 3 2 4 4 3
##  [1657] 4 6 1 2 2 2 5 4 6 6 2 3 1 3 1 6 4 4 2 1 6 6 3 1 2 6 3 2 4 4 6 4 4 6 5 1
##  [1693] 3 3 2 3 3 1 6 5 6 3 2 6 3 3 2 3 2 4 6 4 4 4 3 3 3 3 1 3 2 1 4 1 6 1 2 6
##  [1729] 5 1 6 4 5 1 1 2 2 4 3 4 3 3 2 4 6 6 6 1 3 6 4 2 3 3 2 4 4 3 3 3 6 6 2 4
##  [1765] 3 3 5 2 2 4 3 3 4 3 3 3 6 6 3 3 6 3 6 1 2 3 3 4 3 4 4 3 3 4 3 4 6 3 3 3
##  [1801] 4 3 3 5 4 3 6 3 4 2 4 3 3 1 4 3 3 2 4 5 3 3 6 4 3 3 3 3 3 2 6 2 1 5 2 2
##  [1837] 4 3 3 3 6 6 6 3 3 4 4 6 3 6 6 2 2 2 3 3 3 2 3 3 3 4 4 3 2 1 4 4 4 6 1 2
##  [1873] 6 3 3 5 3 4 2 5 5 2 6 4 5 4 2 2 4 3 3 4 4 2 2 6 3 4 3 3 2 3 6 5 2 3 3 3
##  [1909] 1 3 6 2 3 4 5 5 2 2 3 5 1 5 4 3 2 5 4 3 1 3 2 1 3 6 5 3 3 4 6 1 3 3 5 3
##  [1945] 3 3 6 2 3 6 2 1 4 3 6 6 5 1 4 5 3 4 4 3 4 1 3 4 3 2 4 3 3 3 2 3 3 1 4 2
##  [1981] 3 3 2 1 3 3 3 6 2 2 4 6 3 6 3 3 4 3 4 1 6 1 1 5 1 3 1 3 1 3 2 3 6 3 6 3
##  [2017] 3 2 6 5 3 3 4 4 2 3 3 5 1 6 4 3 4 2 6 2 1 3 1 3 4 6 2 5 2 6 6 5 6 4 6 1
##  [2053] 6 6 4 2 4 3 4 3 2 4 3 3 4 3 3 6 2 3 3 3 6 6 6 6 5 2 2 6 3 6 4 1 4 4 3 5
##  [2089] 3 4 1 1 6 6 3 3 2 4 6 1 3 4 3 6 1 2 2 4 1 6 3 5 1 2 3 3 6 1 4 6 3 6 2 2
##  [2125] 3 3 2 2 4 4 3 4 2 1 1 6 3 6 6 6 6 5 2 3 2 3 3 2 3 4 2 5 6 3 2 4 3 2 2 2
##  [2161] 6 6 3 3 2 3 3 6 5 6 6 5 4 2 3 3 6 2 6 6 2 3 1 2 4 2 3 3 3 4 5 2 2 4 6 2
##  [2197] 3 6 3 6 2 2 4 2 2 3 3 3 4 6 2 1 6 6 6 4 3 1 4 3 2 3 6 3 5 3 1 3 3 3 5 3
##  [2233] 3 3 3 6 2 6 2 6 6 2 4 2 6 1 6 5 1 1 3 3 6 2 3 5 4 2 4 2 1 4 4 3 3 4 4 4
##  [2269] 5 6 2 4 4 3 4 3 2 3 4 3 3 6 6 3 1 4 3 6 4 3 4 2 2 3 3 3 4 4 3 3 3 4 3 4
##  [2305] 5 6 2 3 6 3 3 5 6 2 2 3 4 3 6 6 3 6 5 4 3 3 2 3 6 2 6 6 3 2 2 3 3 3 2 6
##  [2341] 5 3 6 4 3 3 3 3 3 3 1 3 6 4 3 2 2 3 6 2 2 1 2 4 2 3 5 6 6 3 4 3 5 3 4 3
##  [2377] 3 2 4 6 6 3 3 2 4 4 1 6 3 6 4 5 4 1 4 6 3 2 6 5 4 3 6 3 2 4 4 2 4 2 3 3
##  [2413] 1 3 5 6 6 1 4 3 1 4 2 6 2 6 3 4 3 6 3 4 3 6 6 3 3 2 4 4 2 2 1 6 1 3 6 3
##  [2449] 1 2 4 4 3 2 3 3 1 1 4 6 1 4 6 6 3 3 3 4 3 2 4 1 6 6 3 4 3 6 6 4 4 4 1 1
##  [2485] 3 6 1 1 6 6 3 2 1 1 3 4 6 3 4 1 4 3 2 6 3 3 3 6 3 4 3 2 3 3 3 2 6 3 4 1
##  [2521] 1 6 5 1 1 4 6 4 6 5 4 2 6 3 2 3 6 6 1 1 6 3 4 4 6 6 6 2 3 3 3 3 3 3 6 2
##  [2557] 5 2 2 3 4 3 3 2 2 2 2 3 4 3 1 6 3 6 2 3 3 4 3 2 4 4 6 2 6 4 4 3 3 3 4 6
##  [2593] 6 3 6 3 2 4 6 2 4 2 6 2 3 2 6 3 3 3 3 6 4 4 6 6 4 3 6 3 3 4 2 3 3 5 2 5
##  [2629] 3 3 6 3 2 4 3 1 6 6 3 2 2 5 4 2 3 3 6 1 2 6 4 1 6 4 2 2 3 6 3 6 6 1 3 3
##  [2665] 6 4 2 1 3 1 3 4 4 3 6 6 6 1 6 3 2 3 6 3 3 3 6 4 3 2 6 5 2 3 6 3 6 3 4 1
##  [2701] 3 3 6 3 3 6 2 6 6 2 2 2 4 4 4 6 4 3 3 6 3 6 6 3 3 4 2 1 3 5 1 5 1 6 3 3
##  [2737] 1 4 2 4 5 3 4 3 3 2 6 6 4 4 4 2 2 3 2 3 4 2 3 6 4 1 3 3 2 6 3 2 1 3 1 4
##  [2773] 6 6 4 3 3 6 3 4 3 3 3 3 4 6 3 2 3 4 4 3 3 4 2 4 6 6 5 2 1 1 4 1 4 4 1 6
##  [2809] 2 2 2 3 3 4 4 3 6 3 6 6 6 6 6 2 6 2 6 3 2 3 3 5 6 4 6 4 4 3 6 3 1 4 3 5
##  [2845] 4 4 4 4 3 2 4 3 3 3 4 4 1 1 1 3 3 3 2 4 2 1 1 1 1 3 3 6 3 3 2 2 4 2 6 4
##  [2881] 2 3 6 3 1 2 4 4 4 1 6 4 6 3 2 6 3 6 4 3 3 3 1 6 1 2 2 2 6 3 3 3 3 2 6 3
##  [2917] 6 6 1 3 4 4 3 4 6 6 6 4 4 3 1 2 1 3 4 3 1 3 4 4 5 2 6 3 2 3 4 1 4 4 1 2
##  [2953] 6 3 3 3 4 3 3 3 5 4 3 2 4 4 2 2 2 6 6 3 2 4 3 2 4 4 4 4 3 6 3 2 6 3 3 3
##  [2989] 2 3 3 2 3 3 2 3 6 3 4 3 6 6 3 1 6 3 6 4 2 4 4 5 3 4 3 5 4 4 4 6 2 5 2 4
##  [3025] 2 4 6 3 4 2 3 3 3 6 6 6 2 3 4 6 3 6 5 1 3 3 3 4 3 3 3 1 6 3 1 3 3 6 3 4
##  [3061] 6 3 4 4 4 6 5 3 3 4 1 6 4 1 1 6 5 4 1 3 4 3 4 3 3 3 4 3 1 6 3 4 2 3 2 3
##  [3097] 4 3 3 4 3 3 2 6 5 4 6 3 2 2 3 4 4 6 3 4 3 3 6 4 2 5 6 2 3 4 4 1 3 3 4 2
##  [3133] 4 3 6 4 2 3 2 3 2 3 3 3 3 3 1 3 5 3 3 2 6 1 6 3 1 2 4 4 3 4 3 5 3 1 4 3
##  [3169] 2 6 3 3 3 3 6 3 4 3 4 1 4 5 2 2 3 6 4 6 6 6 3 2 6 2 6 4 4 3 4 1 1 6 4 1
##  [3205] 1 6 1 6 1 3 3 2 6 3 4 3 4 4 1 4 1 3 2 3 6 3 3 1 4 2 3 2 3 6 3 4 3 3 2 1
##  [3241] 6 1 4 6 4 2 4 6 3 5 3 2 4 1 1 2 3 3 6 3 4 4 3 3 6 6 5 3 3 3 4 3 3 2 2 2
##  [3277] 6 6 3 4 2 6 5 3 2 5 1 3 3 1 3 3 3 3 6 3 4 6 4 3 1 5 4 1 3 2 6 2 3 6 3 4
##  [3313] 1 3 3 1 2 6 3 5 3 3 2 3 3 6 6 4 3 3 3 4 1 4 3 1 4 6 4 1 6 5 3 6 3 3 3 3
##  [3349] 6 2 6 4 4 3 2 5 2 3 2 4 2 4 6 6 1 2 4 2 4 3 4 6 3 6 6 3 3 2 3 2 4 6 4 2
##  [3385] 4 2 2 3 3 4 3 4 5 4 3 3 4 6 4 6 1 3 6 3 3 1 3 3 1 4 2 3 2 3 3 4 4 6 5 3
##  [3421] 3 6 6 6 3 4 4 3 6 3 2 4 4 2 6 6 6 3 1 2 6 4 6 2 6 1 3 5 4 4 3 4 6 1 1 4
##  [3457] 2 3 3 5 2 1 3 6 1 4 5 3 6 5 6 4 3 5 3 3 2 5 4 4 4 1 1 3 4 3 2 5 5 6 2 1
##  [3493] 6 4 6 5 1 1 3 3 4 4 3 3 2 2 1 3 2 6 2 3 2 6 4 4 3 4 3 3 6 3 6 3 3 3 4 3
##  [3529] 2 6 4 3 2 4 1 6 1 4 2 3 3 5 4 3 6 1 2 4 3 6 4 5 4 3 4 3 4 3 2 6 3 2 6 3
##  [3565] 3 4 6 4 3 2 2 1 2 6 3 3 4 4 4 5 2 6 6 4 4 3 3 2 1 6 2 3 3 5 1 4 3 4 4 5
##  [3601] 3 6 1 6 3 6 4 2 3 2 3 3 2 2 4 6 3 3 6 3 1 5 5 1 3 1 4 4 3 1 5 2 2 4 4 3
##  [3637] 2 3 3 3 6 6 3 2 4 6 2 4 3 2 4 3 2 4 3 4 4 3 6 3 5 3 3 3 6 2 1 2 3 3 4 1
##  [3673] 3 2 3 2 6 3 3 4 3 3 6 4 1 3 3 4 3 3 2 6 3 3 4 4 3 3 6 6 3 3 6 2 3 2 3 2
##  [3709] 3 6 4 4 3 5 5 4 3 3 2 3 1 1 4 3 3 2 4 1 4 1 6 6 3 2 3 4 3 3 3 3 6 6 3 4
##  [3745] 6 1 5 5 1 1 6 3 4 4 2 3 2 3 4 2 3 6 3 3 6 1 4 2 2 4 3 2 6 6 4 6 3 3 3 3
##  [3781] 1 3 3 2 2 3 6 3 4 4 6 1 4 4 2 2 3 3 1 6 6 4 6 5 6 6 6 2 4 2 3 6 3 2 6 3
##  [3817] 6 1 3 3 2 3 3 6 6 3 1 3 2 4 3 5 5 5 6 4 2 2 1 6 4 3 4 3 6 4 6 3 6 3 3 3
##  [3853] 6 3 2 6 5 6 5 3 4 2 4 6 6 3 3 3 3 4 3 4 4 4 4 1 5 4 4 6 3 2 2 3 2 3 3 2
##  [3889] 4 3 3 6 6 4 6 3 2 3 3 6 2 2 3 3 5 3 4 5 3 1 6 2 6 2 2 2 5 6 3 3 6 3 6 4
##  [3925] 5 6 3 6 6 6 3 3 3 2 3 3 3 6 3 3 6 3 6 4 6 6 3 1 6 6 6 2 3 2 4 6 2 3 2 3
##  [3961] 4 3 3 4 6 2 4 2 6 6 3 2 1 4 3 3 4 1 4 2 1 2 6 3 6 2 6 6 2 3 1 3 3 2 6 3
##  [3997] 2 3 3 3 3 4 2 4 3 3 6 6 3 3 3 4 3 3 2 3 6 4 4 5 4 1 1 6 6 5 2 6 4 6 3 1
##  [4033] 3 3 4 3 1 4 6 3 3 6 3 6 2 4 1 2 3 3 3 3 2 4 4 6 4 2 2 1 3 3 6 2 2 1 4 3
##  [4069] 5 5 2 2 6 6 2 2 1 1 2 4 2 2 3 3 3 3 6 5 3 1 5 2 2 5 2 2 6 3 1 6 6 1 3 3
##  [4105] 6 2 6 2 1 4 3 1 4 5 4 3 2 3 4 2 4 6 3 5 4 3 6 2 2 3 3 2 3 3 3 1 4 2 6 3
##  [4141] 3 4 3 6 6 1 1 4 3 4 3 3 3 3 4 5 6 1 1 6 3 6 3 3 2 3 3 3 3 6 3 4 2 4 3 6
##  [4177] 2 6 1 4 6 6 2 6 1 3 6 2 3 6 3 4 2 1 3 3 6 2 4 6 4 2 3 4 3 6 3 2 3 6 4 6
##  [4213] 6 4 4 2 6 2 4 1 3 4 3 5 6 4 3 3 3 3 2 5 3 3 2 3 4 1 1 4 2 2 3 3 6 4 2 4
##  [4249] 2 4 4 3 1 6 6 5 2 4 2 4 1 6 1 6 2 3 2 3 2 6 4 6 3 6 4 3 2 4 3 3 3 3 3 1
##  [4285] 1 1 4 4 3 1 4 1 4 3 3 1 6 4 2 6 2 2 6 2 4 2 2 3 6 3 2 5 2 3 1 3 4 3 3 3
##  [4321] 3 3 2 3 2 3 3 3 4 3 4 3 6 2 2 3 6 2 2 3 1 6 4 3 3 2 3 4 4 3 3 3 6 4 1 4
##  [4357] 4 6 3 3 3 6 2 3 6 1 3 6 6 2 2 3 2 2 1 4 3 3 6 4 1 6 6 6 2 3 4 3 6 3 2 5
##  [4393] 3 6 6 2 3 1 3 3 3 3 3 3 6 6 3 1 6 6 6 3 6 4 3 6 1 4 6 4 3 2 4 4 4 6 1 4
##  [4429] 6 3 1 4 1 2 4 3 4 4 2 6 3 6 6 3 6 3 3 2 3 5 1 4 3 3 3 2 4 3 6 4 1 2 2 3
##  [4465] 4 2 6 3 3 2 5 2 6 3 3 3 6 3 2 3 3 4 2 3 4 3 3 2 5 3 2 6 4 6 4 3 3 6 6 4
##  [4501] 6 3 6 6 3 6 3 2 5 3 2 2 4 3 3 3 4 3 2 6 6 3 6 4 2 6 6 2 4 3 2 5 6 6 2 6
##  [4537] 1 3 3 3 6 3 4 2 5 2 3 6 4 6 2 2 3 6 4 4 3 1 3 3 1 1 3 4 3 6 2 2 4 6 6 6
##  [4573] 6 6 3 4 6 4 4 5 1 4 2 3 6 3 3 3 5 3 3 4 2 4 5 3 6 4 4 3 3 2 3 4 3 2 3 2
##  [4609] 4 2 6 3 4 3 4 3 4 6 3 6 3 4 2 4 4 4 1 3 2 1 2 3 1 3 2 2 4 3 4 4 3 4 3 6
##  [4645] 4 6 6 6 6 3 3 3 6 2 2 3 3 3 6 1 2 4 5 4 1 3 1 4 5 3 2 6 1 2 2 3 3 2 2 4
##  [4681] 3 2 2 1 6 3 4 3 6 1 4 4 3 3 2 6 4 3 2 4 3 4 3 3 2 3 6 6 1 6 4 1 3 2 2 3
##  [4717] 3 4 3 3 4 6 4 6 1 4 4 2 4 1 4 2 6 1 6 6 6 6 1 3 6 2 3 4 3 6 4 3 3 2 3 3
##  [4753] 2 3 4 4 2 6 3 3 2 2 3 6 5 3 4 1 4 4 5 1 4 1 1 4 1 2 3 3 3 4 3 3 2 1 6 3
##  [4789] 3 4 4 4 2 4 3 6 2 4 3 6 5 5 3 3 3 6 2 6 3 4 2 4 6 6 3 1 6 5 1 3 6 6 3 6
##  [4825] 3 2 3 2 3 3 1 5 3 6 3 3 6 6 4 3 2 3 3 4 5 3 4 4 4 6 3 6 3 4 4 2 3 3 4 6
##  [4861] 3 4 3 3 3 1 4 2 5 4 1 3 6 4 4 2 6 4 3 2 6 2 3 5 5 3 3 4 3 6 6 3 6 1 3 1
##  [4897] 3 6 2 3 5 4 4 3 1 2 2 3 2 3 2 2 5 3 2 2 4 4 2 3 4 3 3 6 3 3 6 2 2 3 2 3
##  [4933] 3 6 3 3 6 3 4 1 5 4 2 5 6 6 4 1 4 1 2 2 4 3 3 3 3 3 3 3 3 3 6 1 2 3 3 3
##  [4969] 4 3 3 2 3 1 3 4 6 3 4 3 3 3 6 2 6 3 6 3 3 6 6 2 4 1 3 4 3 6 3 6 4 4 4 5
##  [5005] 3 6 3 4 1 1 4 4 2 1 3 1 6 1 4 2 2 4 5 3 5 2 4 4 3 6 6 6 3 3 3 3 4 3 3 4
##  [5041] 2 3 2 2 2 3 6 1 3 2 4 1 3 1 2 6 4 2 6 4 3 2 1 2 4 4 5 2 2 3 4 2 2 6 4 6
##  [5077] 4 3 1 6 1 2 2 3 4 3 6 3 4 4 2 3 6 2 6 3 2 1 2 4 1 6 3 3 3 5 4 2 6 4 5 6
##  [5113] 3 2 6 2 2 1 6 5 1 2 6 6 6 1 3 2 4 6 4 3 3 6 5 3 4 6 4 3 2 5 6 1 1 4 6 4
##  [5149] 2 6 1 5 4 5 4 4 3 6 3 2 3 2 3 3 3 4 2 2 6 3 4 3 2 2 6 5 6 2 6 3 3 2 1 6
##  [5185] 5 3 2 2 3 3 2 4 3 2 3 3 4 2 3 3 1 3 4 3 3 6 3 3 6 4 4 2 3 3 1 3 2 4 5 6
##  [5221] 3 6 4 2 3 3 3 3 3 3 6 3 3 5 3 3 2 5 2 2 4 6 6 1 4 4 4 4 2 6 6 6 4 2 2 3
##  [5257] 6 1 2 1 6 4 6 4 3 3 1 3 1 6 2 1 6 4 4 3 4 2 2 6 3 3 4 3 6 3 3 2 5 6 2 2
##  [5293] 3 3 3 3 2 3 2 6 6 3 6 4 4 2 3 2 2 5 1 6 4 4 2 3 1 6 6 5 1 2 3 4 4 1 2 5
##  [5329] 3 2 6 6 3 4 3 2 2 6 3 1 5 3 3 6 3 3 2 4 4 3 6 3 1 1 6 1 3 3 1 1 3 3 6 3
##  [5365] 3 4 2 5 4 6 1 4 4 6 4 3 5 4 4 1 3 3 6 3 3 4 6 6 2 2 3 6 3 6 6 3 3 6 3 3
##  [5401] 3 1 2 4 3 6 3 4 3 4 2 6 5 2 6 4 4 6 4 2 3 3 6 3 3 5 1 5 5 3 3 3 6 2 3 2
##  [5437] 5 1 3 3 2 1 4 4 5 5 3 2 3 3 6 3 1 3 4 4 2 3 3 3 3 4 4 2 4 5 3 2 2 6 6 1
##  [5473] 1 5 3 3 5 4 1 2 3 3 2 3 3 4 2 4 6 3 2 3 6 5 4 3 3 4 3 1 3 6 2 3 3 4 6 6
##  [5509] 2 3 2 4 6 2 4 4 3 2 3 6 3 4 6 4 2 3 4 2 4 3 3 3 2 3 2 1 3 3 3 1 3 1 5 3
##  [5545] 1 5 6 4 2 2 2 3 4 3 6 3 6 3 6 5 5 5 3 4 3 4 3 6 3 2 3 1 6 1 4 4 4 3 3 1
##  [5581] 6 2 1 3 3 4 1 4 4 1 3 3 6 3 4 3 3 6 3 6 5 6 3 5 4 1 3 3 4 1 3 4 6 3 3 3
##  [5617] 4 3 4 6 3 6 2 3 3 3 3 2 4 3 3 4 3 2 3 1 2 3 5 4 6 4 3 3 1 4 3 1 5 6 6 2
##  [5653] 4 6 1 3 5 5 4 1 3 3 2 2 4 2 4 2 2 3 3 3 6 1 3 3 4 4 1 4 6 2 3 4 4 3 4 3
##  [5689] 4 1 4 3 1 3 6 4 6 4 2 4 6 5 6 4 4 4 6 2 3 3 3 4 2 4 6 4 3 3 4 3 1 2 3 3
##  [5725] 6 1 3 3 3 4 6 6 3 4 2 3 3 4 1 6 3 3 3 3 6 3 4 1 2 4 2 5 3 2 1 2 3 4 3 3
##  [5761] 3 1 3 1 4 4 3 6 3 6 3 3 4 6 6 2 4 1 4 1 3 5 3 4 2 3 6 3 4 3 2 4 6 4 4 4
##  [5797] 4 6 1 3 3 3 6 2 1 4 3 3 6 3 2 1 6 2 2 3 6 3 3 3 3 4 4 4 4 5 2 1 3 1 4 6
##  [5833] 6 3 6 3 6 1 4 3 6 1 2 3 6 3 2 3 3 4 3 3 6 4 5 6 4 4 3 3 2 6 6 1 1 2 2 6
##  [5869] 2 2 6 6 2 3 2 2 1 3 5 3 6 2 3 5 3 4 2 4 3 2 3 6 4 3 5 2 6 3 3 6 4 3 4 1
##  [5905] 4 3 4 6 6 6 4 2 5 3 2 3 4 4 6 4 1 2 3 2 2 6 6 3 2 3 4 4 3 2 1 6 3 2 3 6
##  [5941] 2 3 3 6 1 3 2 1 2 4 3 3 2 6 1 3 2 3 2 4 1 4 6 3 2 3 4 3 6 3 5 6 2 3 6 5
##  [5977] 3 4 2 4 6 6 3 5 6 3 2 6 6 3 4 6 2 4 1 6 3 2 3 4 3 4 4 1 6 2 3 3 3 3 4 6
##  [6013] 2 6 3 3 4 4 3 4 6 6 3 5 3 4 3 4 2 1 3 2 4 2 3 3 2 1 3 4 6 3 2 4 6 2 6 3
##  [6049] 5 2 4 6 3 6 4 3 3 2 3 2 3 6 4 4 6 1 1 2 1 6 5 3 2 2 3 4 3 1 4 4 6 4 6 6
##  [6085] 6 1 1 2 6 1 4 6 4 3 2 4 3 2 3 6 1 6 4 4 1 3 3 3 2 3 3 2 2 3 4 6 6 3 3 3
##  [6121] 4 4 1 2 2 3 6 5 2 3 6 3 3 3 4 3 4 4 4 3 1 6 3 4 6 4 2 1 3 1 3 4 2 3 6 4
##  [6157] 3 6 5 2 2 6 2 6 4 1 2 2 6 4 1 6 2 3 3 2 4 3 6 1 6 6 6 6 3 3 3 3 4 3 3 6
##  [6193] 4 3 3 1 2 6 3 4 6 3 3 3 6 5 2 1 2 1 2 2 2 4 4 3 4 6 4 3 1 6 4 3 4 4 2 4
##  [6229] 2 6 1 3 3 1 4 6 2 4 3 2 3 4 6 2 2 6 3 4 5 6 2 6 3 3 6 1 4 3 2 2 3 3 3 4
##  [6265] 2 4 4 3 6 3 4 2 2 5 5 3 3 4 4 2 6 2 3 6 3 4 3 4 1 3 4 3 1 5 1 3 1 3 3 6
##  [6301] 3 3 6 1 3 2 2 4 4 1 4 6 6 6 3 2 3 3 3 3 6 6 3 3 3 3 6 5 4 4 3 3 3 1 6 5
##  [6337] 1 2 6 6 4 4 2 3 6 3 3 1 3 5 2 2 6 4 2 3 3 6 1 2 3 5 1 3 1 1 6 4 6 3 2 3
##  [6373] 3 2 3 4 2 6 4 3 6 4 3 4 4 3 2 2 6 4 2 6 5 3 2 6 6 6 4 3 1 2 4 2 6 3 2 6
##  [6409] 6 3 2 4 4 6 2 3 2 3 1 3 2 3 4 3 3 5 6 6 2 6 1 1 3 2 5 5 2 3 3 6 1 3 1 6
##  [6445] 4 2 6 6 4 2 6 5 4 6 6 5 6 6 1 3 4 3 3 2 3 5 6 3 2 1 4 6 2 2 4 3 2 5 3 2
##  [6481] 6 1 3 2 6 6 2 3 4 4 6 4 5 3 1 3 4 6 5 4 4 4 2 3 3 6 3 6 3 4 4 3 2 3 2 4
##  [6517] 4 2 3 2 3 2 6 4 3 6 5 3 4 2 2 3 2 6 6 6 6 3 6 2 3 1 6 2 6 2 3 4 6 6 4 6
##  [6553] 3 4 6 4 4 3 6 6 3 3 3 1 3 3 3 3 4 1 1 4 1 6 4 3 4 4 3 4 6 4 4 3 3 5 6 4
##  [6589] 4 6 3 4 3 3 3 6 6 6 6 6 3 6 3 2 3 2 4 4 3 3 3 2 6 5 6 4 4 2 6 3 4 1 4 5
##  [6625] 2 6 2 6 3 3 5 1 4 3 3 6 2 5 6 1 3 6 6 3 4 4 5 3 3 4 2 4 2 2 6 4 3 4 2 4
##  [6661] 3 3 4 2 5 4 6 6 6 1 4 6 4 3 1 3 3 3 3 5 4 3 3 2 4 1 6 3 3 6 3 3 1 5 2 5
##  [6697] 3 3 4 4 6 2 3 3 6 4 1 1 3 3 3 3 4 6 2 3 2 4 6 6 6 3 6 6 4 6 5 6 3 3 4 6
##  [6733] 1 6 4 1 3 3 4 1 3 6 2 3 3 6 6 3 4 3 3 4 1 6 2 2 4 1 5 6 4 6 6 6 6 2 1 6
##  [6769] 2 6 6 4 4 4 3 3 1 2 3 1 6 1 4 2 5 3 1 1 2 2 3 6 2 4 3 3 3 4 4 3 3 5 5 3
##  [6805] 3 1 3 4 2 4 3 4 1 3 4 3 4 6 4 2 4 3 2 3 6 2 3 1 3 2 6 3 3 3 5 1 3 6 2 3
##  [6841] 6 4 1 3 3 2 2 6 3 3 2 2 6 2 6 1 3 3 4 3 6 4 2 2 3 2 3 2 3 3 6 3 3 4 3 6
##  [6877] 2 4 3 1 2 3 3 3 1 5 1 6 6 1 3 3 3 3 2 1 3 3 2 3 3 6 3 3 2 2 4 5 4 4 4 3
##  [6913] 3 2 3 3 4 6 2 3 3 4 3 3 2 6 4 4 6 6 3 2 3 2 6 6 2 4 2 6 2 3 6 6 4 3 3 6
##  [6949] 4 1 1 2 4 3 3 1 4 2 1 4 4 4 3 2 1 6 4 6 4 2 2 2 6 6 3 3 2 3 6 4 3 6 6 1
##  [6985] 3 3 6 3 6 6 3 6 6 2 6 2 6 2 6 3 6 2 1 3 3 5 3 6 3 3 3 6 5 3 5 4 3 5 4 3
##  [7021] 2 4 1 4 3 4 3 4 4 2 3 1 6 4 2 4 2 2 3 5 6 4 4 3 1 4 4 1 6 6 1 6 3 2 6 6
##  [7057] 3 3 4 6 3 2 6 3 4 4 2 1 3 3 3 3 2 1 3 6 3 3 6 4 2 5 1 4 6 3 3 4 2 2 4 1
##  [7093] 3 6 6 3 6 3 2 3 2 3 2 2 3 3 2 4 4 3 3 6 4 3 3 6 2 6 2 4 3 6 1 2 6 2 2 2
##  [7129] 5 3 4 3 2 3 6 4 4 6 3 4 1 3 2 3 3 6 3 3 4 4 4 2 3 3 5 2 2 4 3 3 3 2 3 3
##  [7165] 1 2 3 3 6 1 3 3 6 1 3 6 3 6 3 5 6 2 1 1 4 6 2 5 1 3 3 3 5 2 4 3 3 2 1 1
##  [7201] 3 1 5 3 2 1 3 6 5 2 3 3 4 3 5 3 3 3 6 3 6 3 3 2 2 3 2 2 3 2 4 1 2 2 5 3
##  [7237] 6 4 3 2 2 3 3 3 4 3 4 3 3 6 4 6 4 6 4 2 2 2 3 2 3 3 3 5 3 4 3 6 6 3 3 4
##  [7273] 3 3 3 3 5 1 4 3 4 3 5 3 4 6 3 3 1 3 6 6 6 4 6 6 6 2 4 4 3 4 1 6 4 2 6 6
##  [7309] 2 4 1 4 1 3 6 5 3 5 4 2 6 1 4 4 3 3 4 1 3 4 2 4 1 2 2 5 3 3 3 2 3 3 5 4
##  [7345] 4 4 6 1 3 3 3 3 6 1 1 4 6 2 3 6 4 4 4 3 3 2 3 3 3 2 3 6 5 6 1 3 5 5 3 1
##  [7381] 3 4 6 3 4 3 3 2 2 2 3 2 6 2 6 6 1 4 3 2 3 2 3 3 3 3 4 4 4 6 2 3 2 3 3 3
##  [7417] 2 6 4 4 1 6 4 2 3 3 4 1 6 3 3 5 2 3 3 3 6 4 3 4 3 4 6 1 3 6 3 2 4 2 4 1
##  [7453] 3 2 5 3 3 4 4 1 2 6 3 1 4 6 3 3 1 5 3 3 3 6 3 4 3 6 2 3 3 4 1 6 3 6 3 6
##  [7489] 3 5 5 2 2 3 6 1 3 3 2 3 2 6 2 4 2 2 3 6 5 1 5 1 1 1 6 1 6 5 6 5 3 6 3 3
##  [7525] 3 3 3 2 4 2 1 6 2 2 2 3 3 3 2 1 3 2 4 2 3 6 3 4 6 4 3 6 3 6 6 3 2 3 6 5
##  [7561] 2 4 2 2 4 4 3 2 4 2 3 4 4 4 4 3 2 4 4 2 4 3 1 2 1 4 6 1 4 3 3 3 6 2 3 3
##  [7597] 2 6 6 2 4 2 2 3 6 6 2 3 1 3 3 6 2 2 5 2 5 6 4 6 3 2 2 6 3 2 3 6 4 1 3 6
##  [7633] 4 3 3 6 3 3 4 4 4 3 3 3 3 4 2 3 3 3 3 1 6 3 3 3 3 1 6 3 3 3 3 3 3 6 4 2
##  [7669] 3 4 1 5 3 3 3 6 3 3 2 5 6 4 3 3 6 1 3 2 4 1 6 6 2 2 3 4 6 4 4 6 4 2 4 6
##  [7705] 5 3 4 3 1 5 3 4 3 3 6 4 6 4 4 3 6 1 3 4 4 3 3 3 5 6 6 6 3 2 1 6 6 6 1 2
##  [7741] 6 3 3 4 6 3 3 4 6 3 3 5 3 3 3 3 4 4 6 4 3 3 2 3 4 3 4 3 1 6 4 6 3 1 3 1
##  [7777] 6 2 1 1 6 5 1 6 6 6 4 4 5 3 3 2 3 3 2 4 6 3 2 3 1 3 6 6 3 2 3 6 4 4 1 3
##  [7813] 3 2 4 3 4 3 2 6 6 4 3 3 4 3 3 6 3 3 2 2 4 3 2 3 4 3 4 3 6 2 3 1 1 3 3 4
##  [7849] 4 4 2 4 2 3 5 4 4 3 4 1 3 3 3 3 2 3 3 4 3 2 6 6 2 1 3 4 2 1 6 2 3 2 3 4
##  [7885] 2 3 4 5 3 2 6 6 3 3 1 3 3 3 5 3 3 6 2 3 6 3 1 3 3 6 2 3 4 6 6 2 3 2 2 6
##  [7921] 3 3 6 3 4 5 3 4 2 4 2 2 4 3 2 4 3 1 2 3 6 5 3 3 6 2 6 3 2 3 3 3 3 5 6 2
##  [7957] 2 3 5 3 3 2 6 5 2 6 6 3 3 4 3 1 3 2 3 1 3 3 4 2 6 3 3 6 3 5 3 3 4 4 6 2
##  [7993] 4 2 2 5 3 6 3 4 6 4 3 1 1 6 4 2 4 2 1 4 3 1 3 2 3 4 6 4 6 6 2 6 6 3 6 3
##  [8029] 3 6 3 2 6 2 6 4 2 6 4 2 2 4 2 6 6 3 6 6 2 3 6 5 6 6 3 2 2 6 3 2 3 3 4 6
##  [8065] 6 1 3 2 1 4 2 6 6 5 4 3 2 6 4 2 2 2 3 6 1 3 4 5 6 3 2 2 6 3 6 6 3 3 2 6
##  [8101] 3 3 3 6 2 6 3 2 3 4 4 1 3 3 3 4 3 4 3 4 6 3 4 6 4 3 3 1 6 5 3 3 6 6 6 6
##  [8137] 3 2 2 4 6 6 1 2 3 2 3 4 3 4 4 3 1 3 6 4 4 3 3 6 4 6 6 2 6 3 6 5 6 4 4 4
##  [8173] 1 3 3 2 3 4 6 1 3 1 1 4 5 3 4 3 5 4 5 2 3 6 5 2 3 3 3 2 4 2 6 4 6 6 2 5
##  [8209] 5 3 6 3 3 6 4 3 4 2 1 5 2 3 6 4 3 6 1 2 2 3 3 2 6 6 3 3 1 3 2 3 4 3 6 4
##  [8245] 6 2 6 3 6 3 3 2 3 5 4 4 1 1 4 5 3 3 4 3 2 6 2 3 6 3 3 4 4 3 3 4 3 4 3 4
##  [8281] 1 6 6 3 3 1 4 2 1 3 6 3 2 3 3 5 1 3 3 3 3 3 3 5 2 2 3 4 3 3 6 2 1 6 6 3
##  [8317] 3 3 2 6 3 3 3 3 3 3 4 1 3 5 3 1 2 5 3 2 3 3 3 6 3 3 1 3 3 6 3 2 4 3 4 6
##  [8353] 4 3 3 3 2 3 2 4 4 3 1 5 4 2 4 3 6 2 3 6 1 3 3 3 3 1 3 6 2 2 6 1 3 4 6 4
##  [8389] 4 4 4 4 3 6 1 3 3 3 4 5 5 6 1 5 5 4 2 3 4 5 6 6 3 3 3 5 2 2 3 2 4 4 3 2
##  [8425] 6 2 3 4 3 3 3 4 3 3 3 1 2 3 5 2 3 6 1 2 3 4 3 2 5 4 6 3 4 6 4 6 5 1 2 1
##  [8461] 2 2 1 1 3 6 1 2 2 4 3 3 3 1 6 5 6 3 3 1 6 6 5 3 6 2 2 3 3 2 6 4 4 4 3 6
##  [8497] 2 3 4 3 6 6 2 1 2 2 3 4 4 2 2 6 3 1 2 4 4 3 5 6 3 4 3 3 6 4 3 3 1 6 3 2
##  [8533] 3 4 4 4 3 5 4 1 2 3 3 3 6 1 1 4 3 4 2 3 4 3 5 3 4 4 4 2 3 2 4 6 1 3 4 3
##  [8569] 1 6 6 4 6 4 3 1 4 2 3 6 3 3 6 2 3 2 6 5 6 2 2 4 4 6 2 4 2 3 5 5 3 4 1 3
##  [8605] 4 4 2 6 4 6 4 2 4 6 4 2 3 6 6 3 3 4 6 4 5 4 3 6 5 1 4 4 1 6 3 6 4 2 3 4
##  [8641] 3 6 6 3 3 3 3 2 6 4 3 6 2 6 6 3 4 2 3 2 4 3 4 6 3 6 5 4 6 6 3 3 3 4 3 5
##  [8677] 3 6 2 1 4 4 3 1 3 5 4 6 3 3 4 2 2 1 3 4 5 3 3 6 4 4 3 6 3 4 4 4 3 2 3 3
##  [8713] 5 3 5 3 1 3 3 4 3 3 2 3 3 3 1 3 2 6 3 6 4 1 3 4 3 3 4 3 4 6 3 3 6 2 2 4
##  [8749] 2 2 4 3 6 3 3 4 6 3 3 3 2 2 2 3 4 1 1 4 1 3 1 3 3 2 6 3 3 1 5 5 3 3 5 2
##  [8785] 3 2 6 4 3 2 6 4 4 3 1 4 2 3 5 6 2 6 6 4 4 1 6 3 4 3 4 4 4 3 6 2 3 6 2 4
##  [8821] 1 3 3 3 1 2 1 5 3 4 4 3 2 3 3 3 3 2 4 3 5 6 4 1 3 3 3 2 4 2 6 3 3 6 2 4
##  [8857] 1 2 1 5 3 6 3 4 2 3 6 1 3 3 6 5 6 4 6 6 3 6 6 4 6 6 6 3 6 2 6 2 2 3 1 4
##  [8893] 4 3 5 3 5 4 4 2 3 6 3 2 3 1 4 2 2 2 1 3 1 3 5 5 4 3 3 4 3 2 6 3 4 3 3 4
##  [8929] 3 1 4 4 3 3 6 2 3 1 4 2 3 4 1 6 3 3 6 3 6 6 5 6 3 3 3 1 6 1 4 3 3 4 3 6
##  [8965] 6 2 1 6 2 2 4 3 6 3 2 6 3 6 6 4 3 4 4 6 6 3 3 2 4 3 2 3 6 1 2 3 3 6 4 3
##  [9001] 3 6 4 4 6 3 3 3 4 5 4 3 2 3 3 2 3 6 4 1 3 6 3 1 4 3 1 2 1 6 1 4 4 6 3 3
##  [9037] 6 3 3 3 6 3 3 2 3 1 5 6 3 2 3 4 2 2 6 6 1 1 6 3 2 3 4 3 4 4 4 5 4 3 3 5
##  [9073] 6 6 3 4 6 3 6 6 3 3 6 3 6 2 6 5 3 2 2 4 4 3 6 2 1 6 6 3 1 4 6 4 2 3 5 4
##  [9109] 4 4 3 3 5 4 6 3 3 6 6 3 4 6 3 6 4 5 1 2 2 4 5 6 2 3 4 3 6 2 4 3 6 2 3 4
##  [9145] 3 3 4 2 6 6 4 3 2 4 3 3 3 4 3 6 3 3 5 1 3 5 6 2 4 3 2 3 2 6 2 2 6 4 4 1
##  [9181] 6 6 3 5 3 2 3 2 6 3 3 6 4 4 6 1 1 3 4 1 3 4 6 6 2 3 6 2 3 5 2 3 3 1 3 3
##  [9217] 2 6 6 5 3 3 3 3 3 3 4 2 3 1 4 4 6 5 5 2 4 2 4 3 2 6 4 2 3 4 5 4 3 3 3 3
##  [9253] 2 3 4 3 3 5 6 4 2 2 4 4 5 5 6 3 6 3 6 4 5 3 4 2 6 1 3 3 5 3 3 5 3 1 4 3
##  [9289] 6 4 1 4 5 4 1 1 4 1 6 3 1 3 4 1 2 3 4 1 3 6 3 3 2 6 3 6 3 2 3 6 4 3 2 3
##  [9325] 4 5 3 4 1 2 2 6 2 4 5 4 6 3 3 3 3 1 3 3 6 1 3 2 6 6 1 4 6 3 4 4 3 5 3 1
##  [9361] 4 3 2 6 6 3 3 3 2 5 4 2 4 2 3 3 2 4 3 2 6 4 1 6 3 4 1 1 3 4 1 1 6 3 3 3
##  [9397] 4 3 6 4 6 4 3 3 4 4 2 3 6 6 4 2 3 5 3 3 2 3 2 6 3 5 4 2 6 4 3 2 6 2 2 5
##  [9433] 4 6 1 3 3 1 5 2 3 4 3 4 4 6 4 1 4 3 6 4 3 4 2 2 3 2 2 3 2 6 3 3 3 4 6 3
##  [9469] 3 3 3 3 3 5 3 6 6 3 3 3 4 3 2 4 2 4 6 6 4 3 6 2 1 1 4 1 3 2 3 3 2 3 2 4
##  [9505] 2 2 2 2 6 3 3 4 6 6 5 3 5 5 3 1 6 3 2 6 1 4 3 4 3 6 6 3 6 3 2 1 3 4 3 3
##  [9541] 3 5 6 2 3 4 6 3 6 3 2 3 3 3 1 6 3 6 1 6 6 3 4 1 4 4 5 3 4 3 4 1 4 6 5 2
##  [9577] 4 2 2 3 3 3 4 4 2 6 6 4 3 6 4 6 2 3 1 5 4 6 3 6 3 4 6 3 6 6 6 2 3 2 6 6
##  [9613] 3 4 3 2 2 4 2 3 1 2 4 3 3 3 3 3 2 5 3 3 1 3 6 6 3 6 3 3 6 6 3 2 2 4 1 3
##  [9649] 6 3 4 4 4 3 6 2 6 3 4 2 4 2 3 4 6 6 5 4 4 3 6 3 3 4 1 2 2 3 1 4 3 4 3 4
##  [9685] 6 4 3 4 4 6 3 3 1 6 2 5 3 4 4 3 1 3 3 3 6 3 1 4 3 3 2 2 6 5 3 3 4 2 5 5
##  [9721] 3 6 1 4 2 3 4 3 4 6 3 3 4 3 5 6 4 4 4 6 3 6 3 2 4 2 3 2 3 6 2 3 3 5 6 6
##  [9757] 3 6 3 1 4 6 2 2 5 4 3 6 4 3 3 3 1 3 1 2 4 1 3 3 4 5 6 3 6 3 5 4 1 1 3 1
##  [9793] 4 5 1 6 3 3 2 3 6 6 2 3 4 3 1 1 3 1 1 3 6 3 3 6 3 6 2 5 3 2 1 2 5 2 4 6
##  [9829] 3 2 2 5 4 1 4 3 3 4 2 4 3 6 4 4 6 3 4 6 5 1 1 6 4 6 4 1 1 5 3 2 4 5 6 1
##  [9865] 3 3 2 4 3 3 6 3 3 3 3 6 3 4 6 1 5 2 2 6 6 2 4 3 1 4 4 3 3 3 1 6 3 1 4 4
##  [9901] 1 2 2 3 2 2 5 4 5 6 4 2 1 3 1 2 2 3 4 3 3 1 4 6 3 5 4 3 3 4 2 2 5 4 4 3
##  [9937] 2 1 4 2 6 2 3 3 4 4 4 3 3 4 2 3 2 6 2 3 6 3 6 2 2 6 3 3 5 3 4 4 6 5 3 1
##  [9973] 4 3 4 2 4 6 6 3 6 3 6 2 4 6 2 4 5 6 4 4 3 3 4 6 2 1 5 2 5 3 6 3 3 1 3 3
## [10009] 1 4 5 5 5 5 4 3 3 3 1 6 2 4 1 3 3 6 5 5 4 3 2 6 3 2 3 3 4 6 3 2 3 3 2 2
## [10045] 6 4 3 3 6 2 5 3 4 2 3 1 3 4 6 2 2 2 3 1 2 2 1 2 4 4 6 3 4 3 3 2 3 3 4 4
## [10081] 3 2 1 3 6 4 2 6 3 3 3 3 2 3 3 6 3 6 1 4 6 6 4 4 3 4 5 6 1 3 2 6 3 3 6 2
## [10117] 1 3 1 3 3 6 6 6 5 2 4 4 3 5 1 3 3 3 3 2 3 3 3 4 6 6 6 3 6 2 2 4 3 1 3 3
## [10153] 3 2 4 6 6 4 2 4 1 4 4 1 3 4 2 3 3 3 4 3 4 3 4 2 4 6 2 3 3 3 1 3 2 5 3 3
## [10189] 2 3 3 1 6 4 6 3 1 3 4 2 4 3 4 6 2 2 3 3 2 6 3 1 4 3 3 5 3 6 3 4 4 3 3 4
## [10225] 1 3 3 6 2 2 4 3 3 3 4 4 6 5 1 3 4 3 4 2 1 2 5 1 4 2 5 3 1 6 3 4 2 1 2 4
## [10261] 2 3 3 6 6 4 6 3 6 4 4 3 5 4 1 6 3 3 5 4 4 2 4 3 3 4 1 6 3 4 2 3 6 3 3 4
## [10297] 4 6 4 1 3 2 2 6 3 4 3 5 3 2 3 3 5 3 4 6 3 6 3 3 6 2 4 4 6 3 6 3 1 4 3 4
## [10333] 4 3 3 3 3 1 3 5 6 4 4 3 2 2 1 1 4 4 4 3 3 2 2 2 3 1 4 1 3 6 2 3 3 4 4 4
## [10369] 6 2 3 3 2 6 3 1 3 6 4 2 3 4 3 1 2 3 3 2 3 1 5 3 3 1 6 4 6 1 3 5 5 3 4 6
## [10405] 2 5 5 3 4 4 4 4 2 5 6 1 3 2 4 2 4 6 3 3 4 4 6 6 4 3 3 2 4 3 3 4 5 3 3 4
## [10441] 3 4 3 3 3 2 5 6 2 6 1 4 3 1 2 3 4 1 3 3 5 3 6 3 2 6 3 4 3 6 3 3 6 3 3 3
## [10477] 6 6 3 5 2 6 2 1 6 3 6 2 5 6 4 3 3 5 4 2 3 3 4 6 3 6 6 6 2 6 2 3 6 4 6 2
## [10513] 1 5 2 5 6 6 3 6 6 4 4 3 6 2 6 2 4 6 4 6 3 3 5 4 3 3 1 4 1 1 3 2 3 3 3 4
## [10549] 4 2 6 6 3 2 3 3 3 6 3 3 3 3 6 2 6 3 6 2 3 3 6 3 2 4 2 6 3 3 2 6 6 2 1 2
## [10585] 5 3 3 2 4 1 3 3 3 4 6 4 2 6 6 4 6 6 6 2 3 3 4 3 3 6 4 5 6 3 3 5 3 3 2 4
## [10621] 3 3 1 3 3 3 1 5 3 4 1 4 6 3 6 1 5 4 1 3 3 6 3 5 3 3 3 3 5 3 6 3 4 3 4 6
## [10657] 4 3 3 6 1 2 4 4 3 3 3 2 3 2 2 1 4 3 1 3 6 3 6 4 2 3 4 5 6 5 3 3 2 2 6 6
## [10693] 3 4 2 6 2 6 2 2 6 3 6 4 4 2 3 3 2 3 1 1 4 3 6 3 3 1 4 6 3 3 4 3 2 4 3 6
## [10729] 3 3 2 4 3 3 2 4 6 5 4 4 4 4 2 2 1 3 3 3 3 3 5 3 4 1 4 2 3 1 5 6 5 2 4 1
## [10765] 3 3 6 2 5 3 3 6 3 3 3 5 2 3 1 6 6 3 5 1 4 3 4 6 4 4 3 3 6 3 2 1 3 2 2 6
## [10801] 3 3 6 2 2 2 4 2 4 3 4 3 4 3 6 6 6 4 3 3 3 4 1 1 4 3 1 2 4 6 4 6 3 3 2 2
## [10837] 2 2 3 3 3 4 4 2 3 6 3 2 3 4 6 3 3 2 3 6 2 6 3 3 3 2 6 4 6 3 3 2 4 3 3 4
## [10873] 4 3 4 4 1 3 1 3 4 3 2 3 4 3 6 3 1 2 1 4 6 6 2 6 3 3 3 6 2 3 1 4 2 4 2 1
## [10909] 6 1 3 5 2 5 6 6 3 3 3 3 2 6 6 4 3 4 2 6 1 3 3 4 3 4 4 3 3 3 5 3 5 5 3 1
## [10945] 3 6 6 6 3 2 2 2 3 3 3 6 3 1 4 6 6 3 5 6 3 6 6 2 5 6 4 6 6 3 6 6 1 5 2 3
## [10981] 5 3 4 2 2 6 3 5 3 6 6 2 3 3 3 4 4 4 6 2 3 4 5 1 3 1 3 4 4 3 6 1 2 4 3 3
## [11017] 5 3 4 3 3 6 6 3 3 1 3 3 4 6 6 6 4 6 4 5 5 3 6 3 6 6 4 1 2 6 3 1 2 6 3 1
## [11053] 1 3 1 2 2 4 4 3 6 2 3 6 2 6 4 3 3 4 6 2 6 3 4 3 1 6 6 1 4 4 6 6 3 6 4 6
## [11089] 5 3 4 3 3 6 2 3 4 6 3 3 3 3 2 2 4 3 2 3 3 4 6 3 1 3 4 3 5 1 4 4 4 3 3 4
## [11125] 2 3 6 6 2 2 6 4 4 3 5 1 4 3 3 3 2 6 6 3 6 6 6 4 2 3 5 4 1 3 2 2 3 3 3 3
## [11161] 6 6 5 6 2 2 6 3 4 3 3 3 2 2 2 4 6 3 1 2 3 3 2 6 6 4 5 3 3 1 6 4 6 2 3 4
## [11197] 3 4 6 3 2 4 3 6 6 3 6 2 3 4 2 4 4 6 2 3 3 3 5 3 2 4 3 6 4 1 4 4 2 4 4 3
## [11233] 2 6 3 6 1 1 4 3 1 3 3 3 1 3 3 6 3 4 1 4 1 3 6 4 1 5 2 1 2 6 2 3 4 4 2 4
## [11269] 4 1 3 6 6 3 2 3 2 6 3 3 1 6 5 3 6 2 2 3 3 2 2 3 6 2 2 4 3 3 4 3 6 3 6 2
## [11305] 3 4 2 4 6 3 4 3 1 2 3 2 3 2 2 2 1 2 6 3 4 6 2 6 1 4 3 4 4 4 3 6 3 2 3 4
## [11341] 2 1 6 1 3 2 1 4 6 3 6 5 3 1 1 5 1 3 3 3 6 1 3 6 2 3 3 3 2 3 3 1 3 3 1 3
## [11377] 3 3 1 6 2 2 2 6 6 3 2 4 3 6 4 3 2 6 3 4 1 1 5 1 5 4 4 1 6 3 4 3 4 5 5 6
## [11413] 5 3 3 6 3 6 6 3 3 2 3 5 1 2 6 4 3 3 2 3 2 4 3 6 2 2 3 2 3 3 4 3 6 3 2 3
## [11449] 2 4 4 3 3 6 1 4 1 3 4 4 3 5 4 5 6 6 1 1 3 2 4 4 6 4 1 3 3 1 1 4 6 3 3 2
## [11485] 3 6 5 4 3 5 6 6 6 2 3 3 1 1 4 2 3 5 6 2 3 6 6 6 2 1 6 6 3 6 3 3 3 6 2 5
## [11521] 4 6 3 2 3 1 3 3 3 2 3 2 4 1 4 6 2 6 6 2 3 3 5 5 1 5 4 2 1 4 2 6 6 5 5 2
## [11557] 4 1 4 4 1 6 6 2 2 4 4 6 3 2 6 3 3 3 4 3 5 2 6 3 4 1 3 2 6 6 6 3 3 2 3 3
## [11593] 3 3 6 3 4 6 6 5 6 3 3 4 5 6 5 3 3 3 6 2 4 4 3 6 4 4 4 2 3 3 4 3 3 5 4 3
## [11629] 2 2 2 6 4 6 1 6 6 3 3 1 2 2 3 6 4 3 2 3 3 6 5 1 2 2 6 1 4 1 3 3 4 6 2 5
## [11665] 1 4 6 1 6 3 4 4 5 3 3 6 3 4 6 2 4 6 4 4 3 2 2 3 6 6 2 2 1 4 6 5 5 6 1 3
## [11701] 1 6 6 6 4 2 6 3 4 3 3 3 6 6 3 2 4 2 3 2 3 6 4 3 4 3 3 6 3 6 3 6 3 1 4 6
## [11737] 3 6 4 2 4 2 5 2 3 6 4 3 6 3 4 3 6 1 2 1 6 2 2 2 4 3 6 3 4 6 3 4 6 2 2 3
## [11773] 3 4 6 5 6 1 4 1 1 3 1 3 4 3 6 3 2 3 6 1 6 6 3 4 1 4 3 3 1 4 3 4 4 3 4 3
## [11809] 4 6 3 6 6 4 2 2 6 3 4 6 6 6 3 3 3 6 3 4 3 3 3 3 1 3 3 2 1 6 4 3 2 3 2 6
## [11845] 4 1 6 4 4 6 3 4 5 6 6 1 3 4 3 5 2 5 2 6 2 3 3 6 2 4 4 6 2 3 3 2 3 3 4 4
## [11881] 2 4 3 4 3 6 4 5 3 2 3 2 6 3 6 6 3 4 4 4 4 5 2 3 2 3 4 2 3 1 3 5 3 3 4 3
## [11917] 3 6 4 3 6 2 2 6 3 3 2 3 5 2 3 4 2 2 3 6 3 4 4 3 4 2 6 6 4 4 6 4 4 6 1 1
## [11953] 6 2 3 3 4 1 3 6 4 3 1 3 3 2 6 5 6 6 3 1 3 3 6 6 4 3 4 3 3 3 4 5 4 6 3 1
## [11989] 4 3 3 3 2 1 2 2 2 4 2 4 4 1 1 1 2 6 4 3 4 5 1 2 4 2 3 3 2 2 3 2 3 4 3 2
## [12025] 2 3 3 3 4 3 6 3 3 6 4 3 3 2 3 2 4 1 2 3 4 6 2 4 2 2 3 4 3 3 3 3 6 2 6 6
## [12061] 3 3 3 6 2 5 6 3 6 6 6 6 3 4 1 2 2 3 1 3 3 3 6 3 1 3 6 1 4 2 3 6 2 2 5 3
## [12097] 4 6 3 4 2 6 1 4 1 3 4 3 4 3 3 6 3 6 6 6 6 1 3 4 3 3 1 4 3 6 2 4 6 2 3 6
## [12133] 3 3 3 3 6 3 2 6 2 3 1 4 6 2 3 1 3 1 6 3 3 5 2 3 6 3 4 6 4 2 3 4 6 2 3 3
## [12169] 6 3 3 3 2 6 3 5 2 3 3 3 4 3 2 2 1 3 1 6 4 6 1 4 3 2 4 3 1 4 3 6 3 2 1 2
## [12205] 4 4 6 5 3 4 2 3 3 4 3 1 4 6 2 2 3 1 4 4 2 6 6 4 6 2 6 3 3 4 4 3 2 6 3 1
## [12241] 3 2 1 4 4 5 3 1 6 4 3 3 3 3 3 6 3 6 4 3 3 1 2 4 5 3 5 3 5 3 4 6 3 3 6 4
## [12277] 4 4 3 2 3 6 1 3 6 1 1 3 6 3 1 3 4 6 2 4 3 3 3 3 6 2 4 3 4 3 3 3 4 2 3 6
## [12313] 3 1 4 4 6 4 4 6 4 3 2 6 1 4 1 3 4 2 4 3 3 6 4 3 3 3 3 2 3 4 3 6 4 4 1 1
## [12349] 2 3 3 5 3 3 3 4 4 6 2 4 5 3 3 2 3 4 1 3 3 2 3 3 3 1 3 5 4 6 3 3 4 3 6 6
## [12385] 2 2 3 4 3 3 4 6 6 3 5 2 1 6 2 4 3 4 1 2 1 3 6 4 3 6 2 4 2 4 3 2 3 6 4 3
## [12421] 3 6 5 4 4 4 3 5 3 2 3 6 3 3 3 2 6 6 1 3 4 2 4 4 6 3 3 3 2 5 4 3 1 4 4 3
## [12457] 2 5 4 1 6 5 6 6 2 3 3 3 6 6 2 3 4 3 2 3 3 1 3 2 3 4 6 1 4 3 6 3 1 3 4 6
## [12493] 4 1 4 2 3 2 4 3 4 3 3 5 2 6 6 2 3 1 5 3 6 3 6 1 1 3 5 3 5 3 3 1 6 1 3 5
## [12529] 2 3 2 2 6 3 4 4 3 5 3 2 4 3 5 2 3 1 1 3 5 6 4 3 6 3 3 4 3 3 3 3 3 3 2 6
## [12565] 6 3 3 2 3 4 6 2 1 3 2 4 2 3 2 3 5 1 6 4 2 6 4 3 3 4 4 4 3 4 4 4 6 1 3 6
## [12601] 1 4 2 2 2 3 1 4 6 2 3 2 6 2 3 3 6 6 3 3 4 3 2 4 3 6 1 6 3 4 6 3 4 1 4 1
## [12637] 1 3 2 3 4 6 2 6 3 3 3 2 5 6 3 3 5 1 2 2 6 3 2 3 3 6 2 2 3 3 5 3 1 3 2 4
## [12673] 3 3 3 5 4 2 6 3 3 4 2 2 4 4 3 4 4 3 4 4 2 4 3 2 3 4 6 3 2 6 6 4 1 4 6 6
## [12709] 4 3 2 1 6 2 2 2 2 3 2 4 3 4 3 4 2 2 4 6 2 2 1 1 2 6 6 2 3 6 3 2 5 3 2 5
## [12745] 3 3 6 3 3 3 6 2 2 2 2 4 3 4 6 4 2 6 6 3 6 6 3 2 2 4 3 2 6 4 3 3 6 6 4 1
## [12781] 6 1 3 5 1 4 4 6 1 2 3 3 4 4 6 3 3 6 6 6 2 3 3 6 2 2 1 6 2 4 5 6 2 6 3 3
## [12817] 3 2 6 1 2 6 6 6 3 3 5 2 3 6 2 2 3 3 3 3 3 6 3 3 4 3 1 3 3 6 2 4 3 4 3 2
## [12853] 3 6 2 2 3 1 3 5 6 1 6 2 6 1 3 3 2 1 6 3 3 6 2 3 6 1 5 4 4 2 4 4 3 6 1 2
## [12889] 3 2 6 4 1 3 6 3 2 2 1 3 4 6 4 3 3 6 3 5 3 6 6 3 1 4 1 6 4 5 6 3 4 4 3 2
## [12925] 3 3 4 6 4 6 1 3 3 3 1 1 1 3 4 3 4 3 3 4 2 4 3 4 3 1 4 2 4 2 5 3 2 3 5 2
## [12961] 4 4 2 6 1 6 6 3 4 3 2 4 4 3 4 3 2 5 3 3 1 2 3 4 2 3 6 4 4 3 2 2 1 2 3 6
## [12997] 3 3 2 6 6 1 2 2 6 3 3 1 6 2 6 4 6 4 3 4 6 3 2 6 4 3 3 2 3 6 3 2 4 4 4 3
## [13033] 3 3 3 3 2 1 2 3 4 4 4 4 6 3 1 3 4 4 3 4 6 3 6 6 4 2 5 1 4 2 2 1 3 6 2 3
## [13069] 6 3 3 4 1 3 3 3 1 1 4 3 3 4 3 6 6 4 2 3 2 3 4 4 3 4 6 6 4 3 3 6 6 4 3 2
## [13105] 3 4 6 4 2 2 3 3 3 2 5 2 2 3 4 3 2 3 6 3 3 4 2 1 2 2 6 4 6 6 3 2 2 5 3 4
## [13141] 6 1 4 3 5 6 3 3 3 2 4 6 4 6 4 4 4 6 1 1 6 3 6 4 6 3 5 4 1 6 6 2 4 6 6 5
## [13177] 6 6 4 5 6 5 3 6 3 2 6 1 2 4 6 4 2 6 3 3 1 4 2 2 4 3 2 2 6 3 2 6 1 4 1 1
## [13213] 5 4 1 6 5 4 3 6 6 4 6 3 6 2 6 3 3 3 3 3 2 4 4 3 4 1 2 3 6 3 1 3 3 3 4 3
## [13249] 1 3 4 4 3 4 3 6 3 3 3 3 3 6 2 3 6 3 3 3 2 4 6 3 3 6 6 3 3 6 4 1 1 1 4 5
## [13285] 6 2 6 4 6 3 6 3 2 3 4 4 3 4 6 2 4 6 4 6 3 1 3 6 3 4 2 6 3 2 3 3 3 6 4 3
## [13321] 6 6 4 2 3 4 6 3 2 2 3 2 3 3 1 3 6 3 3 6 4 3 4 4 3 3 2 3 2 2 6 2 2 2 2 3
## [13357] 3 3 3 3 1 4 3 5 1 2 1 4 4 6 2 1 2 5 4 1 2 6 4 4 2 3 2 3 3 3 2 3 3 3 4 4
## [13393] 2 1 4 6 1 3 2 5 4 3 3 6 4 4 3 1 6 4 4 6 3 3 3 3 4 4 3 4 4 5 6 2 3 5 1 3
## [13429] 4 1 3 3 4 4 3 6 1 3 3 3 3 3 4 6 3 3 6 6 2 3 6 5 4 4 1 6 3 1 4 3 4 3 6 4
## [13465] 1 4 3 1 6 4 6 2 3 3 3 3 2 3 4 6 6 3 5 6 6 6 2 3 3 6 3 3 2 2 3 3 3 6 6 4
## [13501] 1 2 6 1 6 3 3 4 4 4 3 6 6 3 2 3 6 2 3 3 6 4 4 1 1 3 3 3 6 3 6 3 3 3 6 3
## [13537] 3 3 6 3 3 3 2 4 6 3 3 3 3 5 2 3 2 4 4 3 1 3 3 6 5 4 2 2 3 4 6 6 4 3 3 6
## [13573] 3 5 4 2 3 2 3 2 3 6 3 2 4 6 6 3 2 6 5 3 3 3 4 3 6 4 2 3 2 3 4 3 1 4 2 5
## [13609] 6 3 2 4 3 3 4 2 3 2 4 6 3 6 4 6 1 1 1 3 3 1 2 6 3 1 4 5 2 2 6 3 2 1 4 4
## [13645] 1 2 4 3 6 2 1 3 6 4 2 6 1 2 4 3 2 6 4 4 6 1 4 3 2 2 2 3 1 3 5 4 3 1 5 4
## [13681] 3 6 5 3 4 3 3 4 3 4 2 3 1 3 3 3 3 3 4 6 3 6 2 4 6 3 4 3 3 4 3 2 1 2 3 4
## [13717] 6 3 3 5 4 3 4 6 3 3 4 1 1 5 1 4 1 6 3 4 1 4 4 3 4 2 4 3 2 2 4 3 3 2 2 2
## [13753] 3 2 3 2 2 3 2 3 3 4 2 5 6 4 3 3 2 4 6 5 4 4 6 3 3 3 4 4 2 2 5 2 3 5 1 1
## [13789] 6 2 3 6 4 3 1 3 4 1 3 2 2 4 1 4 1 3 3 4 3 6 3 6 2 3 1 3 6 6 2 6 4 4 6 6
## [13825] 3 3 1 2 1 6 4 6 6 4 5 1 4 3 3 3 3 6 6 1 3 2 3 6 6 6 1 3 2 6 1 4 1 4 2 1
## [13861] 2 1 3 3 3 3 3 3 3 5 3 1 6 1 3 5 3 6 4 3 6 3 3 4 6 5 3 2 2 6 3 2 6 3 3 6
## [13897] 4 3 2 3 1 3 3 2 6 1 3 5 2 6 3 3 6 3 2 3 2 3 4 1 3 6 4 2 6 5 4 3 6 5 6 4
## [13933] 6 5 1 4 3 1 4 3 6 3 2 1 3 2 6 1 2 1 3 4 4 3 2 3 2 6 6 4 2 3 3 6 1 2 6 4
## [13969] 3 6 5 6 6 4 6 3 3 2 3 5 1 4 6 3 3 6 6 3 3 2 6 3 1 3 3 6 5 2 6 6 4 3 2 4
## [14005] 3 4 4 6 4 6 6 1 3 3 3 3 4 3 4 3 3 6 2 4 3 4 6 2 3 2 4 1 3 3 4 6 3 4 3 3
## [14041] 3 2 2 2 6 3 2 2 2 3 1 2 3 2 4 6 6 4 4 4 6 6 3 2 2 3 3 4 6 1 6 1 4 6 3 6
## [14077] 2 4 3 6 4 4 4 6 6 3 6 2 6 3 1 4 3 4 4 6 3 4 3 2 3 3 4 6 4 6 6 2 6 3 6 4
## [14113] 6 3 4 3 3 3 3 1 3 4 6 3 4 4 2 6 2 6 6 2 3 3 4 2 6 3 1 4 6 3 3 2 3 1 3 2
## [14149] 2 2 1 6 6 3 5 2 6 4 2 4 3 3 3 2 4 6 3 6 4 6 2 5 6 2 6 4 3 4 1 2 6 6 3 2
## [14185] 1 3 2 6 2 2 2 3 3 2 3 3 4 3 4 4 6 6 2 3 4 2 5 2 2 6 3 1 3 4 6 2 6 3 3 6
## [14221] 6 2 3 6 3 3 6 5 3 2 6 2 3 4 5 6 6 1 2 5 3 3 4 1 2 6 4 3 6 4 3 4 4 3 4 6
## [14257] 2 4 4 4 5 5 3 1 2 6 3 5 3 3 4 4 3 6 4 3 6 3 4 3 3 3 4 6 3 3 6 6 4 4 1 1
## [14293] 5 1 3 4 2 6 6 6 3 3 6 6 2 1 2 3 2 2 2 3 3 3 5 3 3 2 4 4 4 6 1 3 6 1 4 6
## [14329] 3 3 3 6 3 2 4 4 2 6 3 3 3 4 1 4 2 1 3 1 1 2 6 1 2 1 4 6 4 6 1 5 5 6 1 2
## [14365] 3 2 2 2 2 3 1 3 3 3 4 6 4 2 2 3 6 3 6 6 3 6 4 5 4 2 1 3 2 3 4 3 1 5 4 1
## [14401] 3 4 2 1 3 6 3 4 3 3 4 2 3 6 5 5 1 6 4 4 4 5 5 4 1 2 3 4 3 6 4 4 2 3 2 4
## [14437] 6 3 5 3 2 4 3 6 3 6 1 2 5 3 1 4 3 3 6 3 3 3 6 5 3 1 3 3 3 2 4 2 3 2 6 6
## [14473] 6 3 3 3 1 3 3 3 3 2 4 3 3 2 6 3 3 4 2 5 3 3 3 2 3 3 4 3 6 2 3 2 6 2 2 2
## [14509] 5 3 3 6 4 4 5 5 2 4 3 4 1 2 2 2 3 6 4 4 1 3 1 1 3 4 1 2 5 3 3 5 2 6 3 3
## [14545] 1 3 2 2 6 4 4 4 6 1 6 4 3 6 1 2 2 3 3 4 4 4 5 3 3 3 2 3 2 6 2 2 6 3 4 3
## [14581] 1 2 4 6 3 6 3 3 2 6 6 3 6 1 3 4 3 2 2 2 6 4 5 4 2 3 4 1 4 4 2 6 2 4 3 3
## [14617] 4 3 3 3 6 4 2 3 6 5 1 6 3 3 4 1 3 6 3 6 2 3 3 5 3 2 4 3 3 3 1 1 1 6 1 4
## [14653] 4 1 4 1 4 4 2 3 2 6 3 6 6 3 4 2 4 1 4 6 4 6 3 3 3 2 3 6 3 1 2 1 5 6 6 5
## [14689] 3 4 3 1 4 1 3 3 6 2 4 3 1 6 6 6 3 6 4 4 6 2 5 2 3 6 2 4 4 6 2 4 3 4 3 4
## [14725] 4 3 2 4 6 3 2 3 2 4 3 5 6 3 6 3 2 4 4 5 3 2 3 3 3 3 4 2 5 4 6 2 2 3 4 3
## [14761] 6 4 6 6 6 3 3 2 6 6 2 2 2 1 3 4 6 4 6 1 6 3 4 3 4 6 5 4 6 5 2 4 6 2 4 3
## [14797] 3 2 5 4 4 2 1 6 3 3 3 1 6 4 3 5 2 2 6 3 6 6 3 3 3 2 3 6 3 3 5 3 5 1 1 4
## [14833] 4 2 3 4 2 6 2 4 3 3 2 3 4 4 2 4 3 3 1 6 3 6 2 4 2 4 5 3 6 4 6 6 4 3 4 6
## [14869] 1 2 4 1 6 3 6 6 3 4 3 3 4 2 6 3 1 4 1 3 4 2 1 4 3 6 6 6 3 3 3 2 3 6 3 4
## [14905] 2 2 5 1 4 6 5 5 3 2 6 2 4 1 1 6 3 3 3 6 6 3 2 3 1 3 3 6 4 5 4 3 6 3 6 4
## [14941] 4 3 5 6 3 4 4 3 3 1 3 2 4 6 2 2 6 3 6 6 3 3 6 3 4 1 1 1 5 4 5 1 4 6 3 6
## [14977] 3 6 3 3 3 4 1 2 3 4 6 6 3 3 6 1 1 6 6 2 4 3 1 3 4 4 4 1 2 2 2 3 3 6 4 4
## [15013] 4 4 4 2 2 6 5 4 4 3 1 5 2 4 6 6 1 2 3 4 5 3 5 1 3 2 4 3 4 3 2 4 4 6 6 3
## [15049] 6 2 6 6 6 3 4 6 4 6 1 2 2 3 1 6 4 3 1 4 6 4 4 2 6 1 4 1 5 6 2 3 4 2 6 6
## [15085] 3 3 4 2 6 3 3 4 3 2 6 5 6 5 3 2 2 5 2 3 3 2 6 6 3 2 3 6 6 4 4 1 3 3 3 2
## [15121] 6 3 6 3 3 4 3 1 2 2 6 1 2 2 4 6 6 4 4 4 2 1 3 3 1 1 3 2 3 3 3 4 1 3 3 2
## [15157] 3 6 3 1 3 3 6 4 2 1 3 5 4 6 2 3 3 4 6 4 4 4 3 1 3 2 5 5 3 3 2 1 2 4 4 2
## [15193] 6 3 4 4 3 4 2 2 3 6 4 3 6 2 3 6 1 4 6 4 4 5 3 4 3 2 2 2 3 2 5 1 2 6 3 6
## [15229] 6 3 1 4 5 3 2 6 6 1 6 6 1 6 6 6 2 4 3 3 3 3 3 3 3 1 3 6 3 2 6 3 3 4 2 3
## [15265] 4 5 3 3 4 1 6 4 5 6 2 1 1 4 6 6 3 3 4 4 2 1 1 3 6 1 6 1 1 6 3 3 3 2 6 6
## [15301] 4 2 3 3 4 3 1 2 4 1 6 6 3 3 6 4 4 5 1 6 4 4 3 2 3 4 5 6 3 6 1 3 4 3 1 4
## [15337] 1 3 2 2 1 4 4 4 3 1 3 4 1 6 4 6 3 6 3 6 2 2 1 3 4 3 6 3 6 3 1 3 3 2 3 4
## [15373] 3 6 4 4 6 3 2 6 5 3 3 4 6 1 6 4 2 6 3 6 3 3 2 2 3 1 3 6 2 2 2 2 2 4 4 6
## [15409] 3 3 2 6 2 3 3 2 3 3 5 3 6 3 5 3 3 2 3 3 4 2 3 2 3 3 2 6 4 5 3 2 4 6 2 6
## [15445] 4 2 3 2 3 6 4 2 3 4 1 4 4 4 6 6 3 6 6 1 2 3 3 5 6 2 4 6 1 1 6 3 6 1 3 4
## [15481] 1 2 2 3 2 3 3 1 1 5 3 3 2 6 5 1 5 4 2 6 3 4 6 6 1 3 6 2 1 1 2 3 3 3 3 3
## [15517] 4 3 3 4 2 4 2 6 3 3 3 6 3 4 3 2 3 6 3 4 2 5 2 2 6 4 6 6 1 3 4 4 3 4 5 6
## [15553] 4 6 4 6 6 3 1 6 4 1 1 6 3 4 6 5 5 4 6 4 2 3 4 3 4 4 6 6 6 6 1 6 3 2 2 4
## [15589] 3 3 3 2 1 3 3 5 6 3 3 5 3 3 1 6 3 3 1 4 6 2 3 4 5 4 3 3 3 3 4 6 6 2 3 3
## [15625] 2 6 4 2 3 4 2 3 4 4 2 2 3 4 6 4 3 2 6 1 2 5 4 4 6 3 5 5 1 4 4 4 2 3 2 6
## [15661] 4 5 4 4 3 4 2 6 6 3 3 4 3 3 2 1 1 6 4 1 6 6 2 6 1 6 4 3 4 3 3 3 3 2 6 4
## [15697] 2 4 4 3 4 6 3 6 4 3 3 4 6 3 4 4 6 4 3 6 2 4 3 2 1 4 4 6 3 6 3 4 4 4 4 5
## [15733] 3 3 3 4 2 6 3 1 4 6 6 3 1 3 3 3 3 6 3 3 3 4 2 4 4 6 4 3 3 3 4 5 1 2 4 2
## [15769] 6 6 6 3 1 3 5 5 2 3 3 3 1 4 3 4 4 1 3 2 3 6 4 3 6 4 1 3 3 3 3 5 3 5 3 4
## [15805] 3 4 6 3 3 4 2 3 2 4 3 4 5 6 3 5 3 3 1 2 3 4 6 2 3 3 2 3 6 5 2 3 5 2 3 3
## [15841] 3 2 4 6 3 1 6 4 1 3 3 2 6 3 3 3 4 5 3 3 6 3 1 4 3 3 4 5 3 6 2 3 4 1 6 3
## [15877] 3 4 3 3 6 6 3 3 4 3 6 3 6 6 3 3 6 6 4 2 2 6 2 1 1 2 5 3 3 1 5 1 1 3 4 6
## [15913] 1 3 3 3 3 3 6 3 2 5 3 6 6 1 3 1 4 3 3 5 6 1 2 6 1 6 4 3 4 6 3 6 1 3 6 6
## [15949] 3 6 4 4 2 3 1 3 6 5 4 3 2 2 2 4 3 4 3 3 2 4 4 3 2 4 3 4 2 1 3 1 4 6 2 2
## [15985] 3 5 4 2 2 3 4 4 5 3 3 3 4 3 3 6 4 1 4 1 6 6 2 3 2 3 6 3 1 3 4 6 3 3 2 4
## [16021] 3 4 1 1 6 4 4 3 4 6 4 3 1 4 2 3 3 4 4 1 3 6 1 3 2 3 6 3 6 4 5 1 2 3 3 6
## [16057] 5 2 1 3 3 3 6 1 3 1 4 5 4 6 6 6 1 6 6 4 4 1 3 6 6 6 6 6 4 4 3 3 3 6 3 2
## [16093] 6 4 3 1 3 3 3 3 3 2 2 4 6 4 3 2 5 1 3 2 3 3 6 3 4 2 2 3 2 3 2 4 1 6 6 3
## [16129] 5 3 3 2 4 4 6 3 4 3 2 6 5 1 3 6 4 1 3 4 2 4 6 1 2 3 1 2 6 2 3 6 3 2 1 4
## [16165] 3 3 1 3 6 3 4 4 6 3 6 3 3 3 1 6 6 6 6 2 1 6 3 1 3 4 1 4 3 6 3 3 1 2 6 6
## [16201] 5 6 1 3 3 2 3 2 4 6 4 1 5 6 3 4 4 3 4 2 3 2 6 2 5 4 5 4 2 6 2 6 1 6 2 6
## [16237] 2 3 3 2 3 2 6 6 3 1 2 2 4 3 4 6 6 3 3 4 4 4 4 2 3 4 2 2 3 3 2 3 3 3 3 4
## [16273] 4 6 2 3 3 6 6 2 6 4 6 4 4 1 6 1 1 6 2 6 3 4 1 6 6 4 2 4 4 2 3 4 3 3 3 4
## [16309] 6 2 2 2 6 4 4 3 6 6 6 3 2 4 4 1 6 2 5 2 4 4 2 3 3 6 6 3 6 6 4 4 4 4 2 3
## [16345] 3 4 3 1 4 6 6 1 6 4 4 3 6 4 1 4 6 3 3 2 6 2 2 3 5 3 3 6 3 3 2 2 3 6 2 6
## [16381] 4 3 4 3 6 2 6 4 4 3 6 1 4 4 3 3 2 3 5 3 3 3 6 4 6 5 6 1 4 3 6 6 3 6 3 3
## [16417] 2 2 3 3 4 4 3 4 4 2 4 1 2 6 4 6 3 6 1 3 3 3 2 1 3 3 3 4 3 3 5 5 6 6 5 1
## [16453] 1 3 3 2 3 3 2 3 6 5 6 4 4 4 4 3 3 3 2 2 3 3 1 6 1 6 3 5 1 6 3 4 3 4 2 4
## [16489] 3 4 3 3 2 4 3 3 2 2 3 6 3 3 1 1 4 3 4 3 1 6 2 2 4 3 6 2 6 2 4 1 3 3 6 4
## [16525] 2 4 3 2 3 6 3 3 3 5 2 4 4 1 3 4 3 4 3 6 4 2 3 6 2 3 3 4 3 1 2 2 2 3 5 4
## [16561] 3 6 4 2 2 3 3 4 2 4 4 4 6 6 4 4 6 3 6 3 2 3 4 3 2 4 3 2 3 4 3 1 4 3 6 5
## [16597] 2 3 3 4 2 5 2 6 6 4 2 3 3 4 1 3 4 6 6 6 3 4 5 4 1 4 3 3 3 2 3 3 2 3 3 3
## [16633] 2 4 6 6 2 5 2 2 3 3 6 6 3 2 3 2 1 5 6 4 4 4 3 5 6 4 2 1 3 4 3 3 4 6 1 3
## [16669] 4 4 4 3 5 2 2 1 1 6 4 6 3 6 6 1 4 4 3 2 4 2 3 4 6 3 2 6 3 1 2 6 4 2 2 2
## [16705] 4 3 6 3 4 2 3 4 2 2 3 3 2 5 3 2 3 6 6 2 5 4 3 3 1 1 3 3 2 5 6 2 4 6 4 3
## [16741] 3 1 3 2 1 5 3 5 3 6 6 3 3 4 6 3 3 4 3 5 6 6 3 4 2 3 3 3 4 4 3 2 6 3 2 3
## [16777] 2 5 6 3 2 6 3 2 3 1 3 3 3 4 3 4 3 1 3 6 6 3 2 1 4 3 3 2 4 6 6 4 1 5 4 4
## [16813] 1 3 3 6 1 4 6 6 4 2 2 1 6 5 4 4 4 3 3 5 2 2 3 2 4 3 2 2 6 2 1 6 4 4 3 1
## [16849] 1 3 6 1 3 3 6 6 4 2 4 1 3 5 3 3 4 4 6 6 2 4 1 2 4 4 6 2 5 3 4 6 2 1 2 5
## [16885] 2 5 2 3 3 2 4 6 3 6 3 6 2 6 2 4 6 4 4 6 6 3 3 3 6 1 3 6 3 6 5 4 4 4 3 1
## [16921] 1 3 3 3 5 4 3 4 3 4 6 4 6 4 5 3 3 6 5 4 6 6 1 5 1 6 3 1 4 1 3 3 6 3 3 2
## [16957] 3 6 4 3 2 1 1 2 2 6 5 1 3 6 6 3 6 4 1 2 4 6 3 3 3 3 3 2 6 4 6 2 5 6 6 6
## [16993] 2 6 1 3 4 1 2 4 4 1 3 3 1 2 2 4 3 2 1 2 3 6 4 6 3 3 3 2 4 6 3 4 4 6 2 6
## [17029] 1 4 1 1 3 2 3 3 2 4 6 3 3 3 4 1 6 3 3 5 3 2 6 6 1 3 2 4 3 1 3 3 2 5 3 6
## [17065] 3 4 5 2 2 2 3 3 1 5 3 2 1 4 3 2 6 4 3 2 3 4 6 4 1 3 4 3 3 4 4 3 3 3 6 2
## [17101] 4 6 3 3 3 6 3 3 6 4 6 4 3 2 3 3 3 3 3 6 1 2 4 3 3 4 6 6 5 3 3 6 3 5 6 3
## [17137] 3 4 6 2 6 4 3 5 4 3 3 3 6 3 4 2 4 4 4 3 2 3 3 1 6 3 6 4 4 1 2 3 4 4 1 6
## [17173] 4 2 6 5 3 1 3 2 4 4 2 3 2 4 6 1 5 6 5 6 4 4 3 3 1 4 6 4 3 3 6 4 3 1 3 5
## [17209] 6 5 2 2 1 3 6 3 1 3 3 5 1 3 6 4 1 3 1 6 6 3 1 5 2 4 3 3 6 5 2 2 4 6 3 2
## [17245] 2 6 3 2 3 3 3 6 6 3 3 6 3 1 3 3 2 6 3 6 4 3 3 3 3 6 1 6 3 2 3 1 1 4 2 2
## [17281] 4 3 3 4 6 6 6 4 2 2 6 3 3 6 6 6 2 1 3 3 2 6 1 5 4 6 1 3 6 1 6 1 3 4 1 4
## [17317] 6 6 4 6 3 2 3 3 2 3 3 3 6 3 6 6 4 3 3 4 6 4 2 5 3 6 1 3 3 4 6 3 4 4 3 3
## [17353] 6 3 6 2 6 6 3 3 3 6 4 1 4 2 3 1 3 2 3 3 2 2 4 2 6 2 6 3 3 4 6 4 3 2 3 2
## [17389] 5 6 4 6 6 2 6 5 6 2 2 1 3 6 2 3 3 4 4 3 3 3 2 2 4 2 2 2 3 5 2 3 3 3 6 1
## [17425] 3 2 3 6 1 6 2 3 3 6 3 4 1 3 3 4 3 2 3 1 6 5 2 6 6 3 2 2 3 2 5 2 3 3 3 2
## [17461] 6 3 2 3 5 4 2 2 3 3 2 3 3 4 2 6 3 6 3 3 6 3 3 3 3 3 4 1 3 2 2 2 4 6 3 6
## [17497] 6 6 6 6 4 2 1 1 4 3 4 3 3 2 3 6 3 4 6 2 4 6 4 6 5 3 6 6 3 4 1 3 3 6 3 4
## [17533] 2 4 2 6 5 3 3 4 6 3 4 2 6 3 2 2 3 1 4 2 3 4 6 3 3 4 2 3 2 6 3 6 6 1 6 6
## [17569] 6 3 3 1 4 3 1 4 4 6 6 3 4 3 2 4 4 3 3 6 5 3 3 2 3 3 3 6 4 3 5 4 3 6 1 4
## [17605] 3 6 4 4 3 3 3 5 6 3 3 1 6 3 3 3 1 4 2 6 4 3 4 3 3 3 6 2 3 3 2 4 2 5 4 3
## [17641] 3 6 3 4 3 3 1 1 6 3 2 5 6 6 1 5 3 6 3 3 4 4 6 1 4 4 3 2 6 3 3 3 3 3 4 3
## [17677] 5 3 4 4 6 4 4 3 6 4 4 1 6 3 3 6 3 6 3 3 2 5 4 4 3 4 3 3 3 6 6 4 3 4 5 1
## [17713] 6 1 4 3 3 3 3 6 5 5 5 3 3 2 2 3 6 4 3 3 6 3 3 6 3 6 3 2 2 6 6 4 6 1 1 6
## [17749] 4 6 3 6 3 4 2 4 3 2 3 3 3 3 4 2 5 5 3 6 6 6 3 3 4 3 4 6 4 6 2 1 4 3 2 1
## [17785] 6 2 3 1 3 6 6 1 6 6 1 3 3 3 3 3 6 3 6 3 3 3 3 2 6 6 1 2 3 2 3 6 4 4 3 3
## [17821] 1 6 2 3 6 3 1 4 4 6 3 4 2 4 2 2 4 5 5 2 3 6 3 2 6 1 1 2 6 6 1 5 3 3 6 3
## [17857] 2 3 2 2 6 3 6 3 4 1 6 3 4 3 3 4 2 2 3 3 4 6 4 3 3 3 5 3 6 6 2 3 5 2 2 1
## [17893] 4 6 4 3 3 2 3 3 2 1 3 6 5 3 1 2 4 3 2 2 4 3 3 2 2 1 6 5 4 3 1 3 1 3 4 3
## [17929] 6 6 4 6 3 2 2 3 3 2 3 3 1 3 1 4 1 4 2 4 3 1 3 5 3 6 6 1 4 6 2 3 6 3 2 5
## [17965] 6 2 3 6 3 3 4 6 4 3 3 3 3 3 2 6 5 3 6 3 6 6 6 1 6 6 3 2 4 2 4 3 4 4 1 6
## [18001] 6 4 3 2 2 3 6 2 4 3 3 3 3 2 3 6 2 3 2 3 6 3 6 6 5 3 3 2 6 2 3 4 6 1 3 6
## [18037] 1 3 6 2 6 1 2 6 6 6 4 3 5 4 2 6 3 6 4 4 6 3 6 1 4 4 4 3 4 1 1 6 5 6 5 4
## [18073] 2 3 2 3 1 3 3 1 6 3 1 3 4 5 3 3 3 1 6 1 1 2 2 2 2 2 6 3 6 4 3 6 3 3 5 5
## [18109] 3 3 2 3 6 3 4 4 3 5 4 1 5 1 6 3 2 1 3 2 3 2 4 2 6 2 3 3 4 2 4 4 2 2 2 2
## [18145] 3 3 2 4 6 3 4 4 1 3 2 3 1 3 5 3 3 2 1 6 5 2 6 3 3 3 3 3 6 3 4 1 3 3 2 4
## [18181] 4 3 2 2 5 2 5 6 4 2 1 4 1 4 6 5 3 6 3 2 6 3 3 3 4 4 6 2 3 2 2 2 4 1 5 6
## [18217] 1 4 4 4 4 5 1 6 6 4 3 2 3 4 1 3 3 5 1 5 3 1 2 3 2 3 3 6 6 2 1 2 3 4 1 4
## [18253] 2 3 6 6 4 4 5 3 4 5 5 4 3 2 6 4 6 1 2 6 2 3 2 3 6 4 5 2 3 3 3 4 6 6 3 2
## [18289] 6 2 3 6 3 3 6 3 5 5 2 3 2 2 3 2 3 4 4 4 2 3 2 2 4 4 6 3 3 3 3 2 3 6 2 4
## [18325] 4 2 6 3 4 3 2 3 3 3 3 1 3 4 4 1 3 6 2 4 6 3 2 2 3 3 1 3 4 5 6 3 1 1 2 1
## [18361] 1 1 3 3 4 3 6 3 3 3 2 6 3 4 2 4 5 6 3 5 2 3 3 4 3 1 4 2 1 4 4 1 6 5 1 4
## [18397] 1 1 6 4 4 2 5 6 4 4 3 6 4 3 3 3 3 6 1 3 4 2 5 3 3 6 3 3 2 3 6 4 4 3 3 6
## [18433] 3 6 3 4 6 3 6 4 5 2 1 4 4 4 4 6 5 6 3 1 1 4 3 6 3 1 4 3 4 3 4 1 4 3 3 3
## [18469] 3 1 4 6 6 4 3 6 3 6 3 1 3 6 5 3 2 2 6 2 1 6 2 1 6 2 6 3 3 1 2 2 2 4 6 2
## [18505] 2 4 3 4 4 3 3 4 1 4 3 3 3 6 6 3 2 2 1 3 2 2 1 3 4 1 6 6 3 4 6 1 6 3 1 6
## [18541] 3 4 2 4 4 6 3 6 2 2 6 6 5 2 4 3 3 4 3 2 3 4 4 3 2 3 6 4 2 3 3 3 3 5 3 1
## [18577] 3 3 4 3 1 3 2 3 2 3 3 5 4 2 3 3 6 5 1 5 4 1 4 3 3 3 6 4 1 3 4 6 1 3 3 4
## [18613] 3 3 2 3 3 2 4 3 2 2 6 1 4 1 3 6 6 6 2 2 4 3 6 6 2 3 3 1 4 2 1 1 4 1 5 6
## [18649] 3 6 6 1 6 4 6 4 3 5 2 3 3 6 6 3 4 6 2 2 3 3 3 2 3 6 3 2 6 3 2 6 6 1 1 3
## [18685] 3 6 6 6 6 4 3 4 3 4 1 6 3 3 3 4 3 4 2 3 2 6 2 5 3 6 1 3 3 4 3 3 4 3 6 3
## [18721] 1 1 1 6 5 6 2 3 3 2 4 4 1 6 6 4 2 3 3 6 3 6 5 6 1 3 3 4 4 2 1 4 5 2 6 2
## [18757] 3 6 1 2 1 4 3 2 4 4 6 2 4 3 2 6 3 3 3 3 2 3 3 2 1 4 4 4 2 4 4 3 2 6 2 1
## [18793] 4 2 2 2 6 2 4 6 2 3 3 3 4 4 3 5 6 6 3 6 1 1 6 3 2 2 3 3 3 2 6 2 2 6 3 6
## [18829] 1 3 2 3 1 4 3 1 3 6 2 4 2 4 4 2 1 3 6 6 2 3 6 2 4 4 5 2 4 3 3 4 3 3 6 6
## [18865] 6 4 5 4 2 4 3 6 3 4 4 4 6 3 2 4 4 6 3 2 4 4 1 6 3 3 3 2 6 2 2 3 3 1 4 3
## [18901] 1 2 1 3 3 6 3 2 4 6 4 3 3 6 4 2 3 3 3 3 4 6 1 4 3 4 2 3 3 5 4 3 2 3 6 4
## [18937] 3 4 6 1 3 4 6 3 6 2 4 5 4 2 6 6 6 3 3 6 1 3 2 1 4 1 3 4 3 6 6 3 2 4 5 1
## [18973] 5 4 4 6 4 6 2 6 5 4 4 5 3 2 3 2 3 3 6 4 2 2 2 6 3 3 3 6 3 4 3 3 2 3 6 1
## [19009] 5 6 3 3 4 4 3 3 4 3 6 4 4 3 6 4 3 2 5 3 2 1 3 2 6 3 2 5 6 6 4 5 6 6 3 4
## [19045] 5 6 2 1 3 6 6 3 4 6 2 3 2 4 2 6 3 3 6 3 2 4 3 5 3 3 6 1 6 2 3 4 6 1 4 1
## [19081] 4 6 2 3 3 6 3 3 2 2 4 3 3 6 2 4 3 4 6 1 1 4 4 4 4 4 3 3 2 3 3 4 6 2 3 3
## [19117] 4 3 3 2 1 3 3 3 2 3 2 1 2 3 6 4 3 2 6 4 3 1 2 3 4 3 6 6 6 2 6 3 2 3 5 6
## [19153] 3 4 1 1 4 4 2 3 3 6 4 1 1 3 6 4 3 4 4 4 3 4 4 3 6 4 2 5 5 3 3 6 6 6 6 5
## [19189] 6 5 1 4 3 2 3 6 4 1 2 3 4 1 2 1 1 2 3 6 4 6 3 2 3 3 6 2 6 3 6 4 3 2 6 6
## [19225] 2 3 4 3 3 3 6 4 6 3 3 2 6 6 3 6 3 4 2 3 1 3 3 5 6 3 4 2 2 2 2 3 4 3 3 2
## [19261] 6 5 6 3 3 5 3 6 3 2 4 6 2 3 1 2 2 2 2 4 3 3 4 6 3 4 2 4 5 6 6 3 1 3 3 3
## [19297] 1 6 6 2 3 2 3 4 4 4 6 3 4 6 2 3 6 3 6 3 3 4 2 3 2 1 3 3 2 4 6 5 3 1 2 5
## [19333] 2 1 6 1 6 3 1 2 2 1 6 2 3 2 4 4 5 3 3 2 5 3 4 4 6 2 3 4 4 2 3 1 3 2 6 2
## [19369] 4 6 3 5 1 3 6 6 6 4 1 4 4 2 2 1 6 2 6 6 2 4 3 2 3 1 6 5 6 3 3 4 2 6 2 1
## [19405] 4 2 3 3 3 1 4 6 3 6 3 2 4 6 3 3 3 5 4 6 4 4 4 6 6 2 1 3 2 3 2 2 2 4 1 6
## [19441] 4 4 2 3 2 2 4 3 2 3 4 4 3 3 2 3 6 2 3 6 3 5 6 4 4 2 2 2 3 6 1 2 4 1 2 3
## [19477] 3 3 4 6 4 6 4 3 4 2 2 2 4 3 1 2 2 6 5 3 2 6 3 3 3 3 2 6 6 1 1 3 4 3 3 4
## [19513] 4 6 5 4 6 5 1 2 2 3 2 2 4 4 4 2 6 1 2 4 4 3 2 2 2 3 3 3 4 3 4 2 4 4 6 4
## [19549] 3 3 1 3 4 1 3 2 2 6 3 6 4 1 4 4 4 6 6 6 3 3 4 3 5 6 3 2 4 6 6 6 3 6 2 3
## [19585] 2 1 4 3 4 3 5 3 3 2 2 3 6 3 3 3 2 6 6 4 1 3 6 6 4 4 3 6 6 6 4 6 5 4 4 2
## [19621] 6 3 3 1 6 3 6 2 3 5 2 4 1 1 4 6 3 4 6 2 2 4 3 4 3 4 1 4 1 6 4 6 4 1 2 3
## [19657] 4 6 2 1 3 2 4 3 6 4 3 2 4 1 2 2 6 2 3 6 2 4 3 3 3 2 3 6 4 3 3 6 3 3 1 4
## [19693] 1 6 4 6 3 2 4 3 1 4 6 3 2 5 6 1 2 2 2 4 6 2 2 3 3 1 6 5 6 3 4 4 6 4 3 1
## [19729] 6 2 1 3 3 1 3 4 4 2 6 3 3 6 3 6 3 3 5 2 6 3 6 2 4 4 3 4 4 3 3 6 1 4 2 1
## [19765] 3 2 2 6 2 2 6 6 4 4 2 6 2 3 1 3 3 4 4 6 3 3 3 2 1 4 3 3 6 1 2 2 3 4 4 6
## [19801] 1 2 3 2 1 3 3 6 6 4 6 2 3 3 1 6 3 3 4 2 3 3 5 1 3 6 3 4 2 4 2 3 2 4 3 3
## [19837] 6 4 3 4 4 6 2 2 4 3 3 3 2 4 3 5 3 6 2 6 3 2 3 3 6 1 4 1 2 3 4 3 3 6 3 3
## [19873] 2 1 3 4 6 1 2 2 4 3 4 4 6 6 3 6 4 1 3 4 4 5 4 6 2 2 6 4 5 3 3 2 6 5 4 2
## [19909] 2 3 1 5 4 6 3 4 5 2 3 3 1 1 4 2 6 6 3 3 2 3 4 3 2 5 3 3 6 5 4 2 1 4 2 3
## [19945] 3 6 3 4 6 2 4 2 4 6 3 3 3 3 3 4 5 6 3 2 3 1 1 4 2 6 1 1 3 6 3 6 6 3 3 6
## [19981] 3 4 3 3 5 2 3 4 1 2 2 2 3 1 3 6 3 2 3 4 3 3 6 2 4 3 6 2 5 3 2 2 6 2 5 5
## [20017] 3 3 6 2 3 3 4 4 3 3 3 1 6 1 1 1 3 3 2 1 4 5 1 6 1 5 3 4 3 6 3 3 3 3 6 4
## [20053] 6 3 3 2 4 6 3 3 3 4 3 1 4 3 3 6 4 2 1 6 4 3 6 4 4 2 3 4 2 6 2 3 4 3 5 4
## [20089] 3 3 6 3 2 3 1 4 1 2 3 6 3 1 2 2 2 4 3 3 2 3 2 1 6 4 1 5 2 6 3 1 3 6 2 2
## [20125] 4 2 2 4 4 2 6 6 3 3 6 3 3 3 3 2 3 3 1 3 1 1 3 1 3 2 3 6 4 3 5 2 4 6 6 6
## [20161] 5 4 4 4 1 3 3 3 5 6 4 6 4 4 1 1 1 3 1 2 3 2 2 2 3 3 2 3 6 3 3 2 4 2 3 2
## [20197] 2 6 6 1 3 2 2 1 2 2 2 1 4 2 3 6 3 3 6 2 4 3 1 4 3 2 4 6 4 2 5 6 3 4 3 4
## [20233] 3 3 3 4 2 3 2 3 4 3 6 4 4 5 3 3 3 3 1 2 6 3 6 4 3 2 3 1 3 3 3 3 1 3 3 4
## [20269] 5 2 3 3 3 6 2 3 6 2 3 6 1 4 1 4 3 3 6 6 4 3 2 3 2 3 5 3 2 2 4 4 2 4 3 3
## [20305] 3 1 3 1 3 4 3 6 3 6 6 6 3 3 4 4 1 3 4 4 3 3 4 3 3 6 4 3 2 3 3 3 2 5 1 2
## [20341] 6 1 4 2 3 3 6 6 1 3 6 2 6 3 1 6 2 3 2 2 2 6 1 6 5 3 3 4 4 3 3 4 3 3 4 5
## [20377] 4 6 3 3 6 3 1 2 1 2 5 5 2 3 1 2 3 3 3 4 4 3 6 3 4 4 1 3 5 2 3 3 2 2 6 4
## [20413] 2 3 2 2 5 3 1 3 4 2 6 3 2 2 4 6 5 6 3 6 2 6 6 3 6 6 2 1 6 6 3 4 4 4 3 2
## [20449] 4 3 2 4 6 3 3 2 4 4 6 6 5 3 6 5 3 4 1 3 3 3 4 3 2 3 2 3 4 3 1 2 2 3 2 2
## [20485] 5 4 3 3 1 2 4 2 2 3 6 4 5 3 3 2 6 4 3 2 4 1 5 2 1 2 3 2 2 2 3 3 3 3 1 4
## [20521] 4 1 6 2 1 3 5 1 3 2 4 6 3 6 4 4 6 4 4 6 2 2 4 6 1 1 1 6 5 2 3 6 4 1 4 4
## [20557] 1 3 4 6 4 3 6 3 4 5 3 6 4 3 2 3 6 1 6 2 1 3 3 2 1 3 3 4 2 3 4 3 5 6 6 4
## [20593] 6 6 3 6 3 4 6 4 4 3 3 6 4 2 6 3 3 6 6 5 4 4 5 4 4 4 6 3 3 3 4 4 2 2 4 2
## [20629] 6 5 4 3 4 6 6 2 4 3 3 1 3 2 6 1 2 4 3 3 6 3 6 4 6 3 2 6 3 1 4 3 6 2 4 4
## [20665] 4 4 4 3 4 6 3 3 4 3 1 3 3 4 4 3 3 1 3 2 6 5 4 5 5 5 3 2 1 2 2 3 4 6 3 5
## [20701] 6 1 3 5 3 4 1 4 6 4 3 3 4 3 2 3 4 4 3 6 6 3 4 2 2 6 1 4 2 3 4 1 6 4 6 5
## [20737] 6 5 6 1 1 1 3 4 3 2 6 4 3 3 2 3 2 3 6 1 4 3 3 2 3 4 3 2 3 5 4 4 1 3 3 3
## [20773] 4 6 4 5 3 6 4 1 6 2 3 1 3 6 3 4 3 6 2 3 3 3 5 2 1 3 3 6 6 2 3 3 3 2 2 1
## [20809] 6 1 4 3 3 6 2 3 2 3 3 4 3 6 2 4 5 6 6 6 6 6 1 3 6 1 2 3 3 2 4 2 3 6 3 6
## [20845] 2 4 3 4 3 3 4 3 3 3 6 4 3 1 6 4 6 4 1 5 6 3 2 3 2 2 2 3 2 6 3 2 4 6 3 2
## [20881] 3 5 3 3 3 3 4 3 2 6 4 2 4 3 3 6 5 6 3 3 2 3 1 3 4 6 4 6 2 2 4 4 4 2 3 1
## [20917] 3 4 1 6 4 1 2 6 4 4 6 1 6 3 5 4 3 2 3 6 3 4 1 6 1 4 4 3 2 3 6 2 5 2 6 6
## [20953] 3 6 5 5 1 3 3 4 3 3 6 4 2 2 2 2 3 2 6 5 6 4 3 1 2 1 2 3 3 5 2 5 1 3 3 6
## [20989] 6 6 6 3 3 1 3 5 3 6 3 3 2 5 2 3 2 6 6 1 1 4 3 6 4 3 3 2 4 4 3 6 3 3 3 3
## [21025] 3 2 5 4 3 3 4 6 2 4 3 3 3 6 6 3 6 2 4 3 6 3 6 4 2 4 3 3 3 6 6 2 6 6 5 3
## [21061] 2 2 6 6 2 2 2 2 3 4 3 4 4 4 4 4 6 6 4 4 3 3 6 3 3 4 3 3 2 6 3 4 6 4 6 3
## [21097] 3 2 4 3 4 6 6 6 4 1 6 3 6 5 3 1 2 1 6 1 6 4 2 6 3 3 3 3 6 4 5 2 5 3 3 2
## [21133] 6 3 1 1 5 3 2 6 3 1 3 3 3 2 5 3 1 3 2 6 2 4 4 4 3 6 4 3 6 2 3 5 3 6 5 1
## [21169] 6 3 2 4 6 3 6 5 3 6 3 6 4 4 3 2 1 2 6 2 2 6 3 6 5 6 6 6 3 1 1 3 4 4 1 3
## [21205] 3 3 3 2 2 3 3 2 4 3 3 4 3 3 3 3 3 3 2 4 3 3 6 4 3 3 2 2 6 3 1 3 2 6 6 3
## [21241] 3 2 6 4 6 4 2 2 4 2 6 2 3 3 6 2 3 1 6 3 3 6 4 1 6 3 1 5 4 6 6 3 6 6 2 2
## [21277] 2 5 6 3 4 4 1 2 3 3 3 4 2 6 6 3 4 3 3 2 4 6 6 3 3 3 3 4 3 4 3 3 5 4 6 3
## [21313] 6 2 3 1 4 4 6 2 6 6 4 4 2 5 5 6 3 3 2 5 6 4 3 1 3 6 3 3 3 1 2 6 2 6 1 2
## [21349] 6 4 4 1 5 3 6 3 6 3 4 5 3 6 6 6 4 3 3 4 6 4 6 1 2 6 2 6 2 3 4 6 6 6 3 4
## [21385] 3 3 3 3 2 6 2 6 2 4 4 4 3 2 3 2 3 3 4 3 2 3 3 1 3 2 1 2 6 2 2 6 3 3 6 2
## [21421] 1 4 4 2 2 3 2 2 2 3 6 4 6 3 6 6 2 4 2 3 4 2 1 2 1 4 1 6 3 3 5 3 2 4 5 4
## [21457] 3 3 3 3 4 1 5 6 3 3 2 3 4 3 2 4 3 2 6 1 3 3 3 2 3 6 3 3 4 3 4 2 2 3 3 3
## [21493] 2 6 6 3 2 3 3 1 3 6 4 3 3 3 2 3 6 4 2 1 3 6 2 2 2 3 3 4 3 1 6 1 3 4 3 4
## [21529] 3 1 4 3 3 3 6 3 5 4 6 2 1 3 1 4 4 6 6 6 2 4 6 6 2 4 3 4 3 6 6 4 3 3 5 1
## [21565] 3 3 4 3 3 6 6 4 1 3 4 6 6 3 6 3 4 4 2 3 4 3 6 2 3 2 6 6 5 1 4 3 5 2 6 3
## [21601] 2 6 6 1 2 5 6 6 6 3 6 4 6 6 4 3 6 3 6 6 3 6 1 6 3 3 4 3 2 3 6 6 4 4 2 6
## [21637] 6 6 2 1 6 3 2 3 6 3 3 3 2 6 2 3 6 1 4 2 3 3 3 3 4 3 3 1 1 3 3 6 1 2 6 2
## [21673] 3 6 1 2 4 4 3 3 2 6 3 2 6 3 3 3 6 4 2 3 2 2 4 6 6 4 6 3 1 1 3 3 2 6 6 3
## [21709] 3 2 6 4 6 4 6 3 6 6 2 2 3 2 4 3 4 4 3 4 6 2 2 4 2 6 3 6 3 6 3 4 4 5 3 3
## [21745] 2 3 6 6 3 2 2 6 3 3 3 2 4 2 3 1 2 3 3 3 4 5 5 3 1 3 4 3 6 3 6 6 3 2 1 2
## [21781] 4 6 3 6 6 4 6 6 6 3 6 5 3 3 2 6 6 4 3 3 1 6 6 3 3 6 3 2 6 3 1 1 6 4 1 1
## [21817] 5 6 4 2 2 1 1 3 6 6 4 1 1 1 3 3 6 6 3 6 3 3 2 3 6 6 3 1 6 2 3 3 2 3 6 3
## [21853] 3 3 4 4 6 2 3 4 3 2 4 2 4 4 4 2 2 2 2 3 2 4 3 4 4 2 3 3 3 4 3 3 3 4 6 6
## [21889] 3 3 3 3 6 1 3 2 4 6 4 2 3 2 4 4 1 3 6 6 1 6 1 4 6 2 6 3 2 3 3 3 3 3 2 6
## [21925] 6 6 1 2 2 6 2 5 3 6 1 6 3 4 2 2 4 6 5 3 6 1 6 4 6 4 4 6 4 4 3 3 3 6 3 1
## [21961] 3 3 3 3 3 3 6 6 2 6 6 6 3 4 3 3 1 2 3 6 3 1 2 6 3 6 3 4 2 3 4 2 3 3 5 4
## [21997] 2 3 6 1 6 4 6 3 3 2 4 2 6 3 3 5 3 3 3 2 5 3 4 4 3 6 3 4 1 6 2 3 3 2 1 2
## [22033] 4 5 6 3 3 6 3 2 1 3 3 4 5 3 6 1 4 4 4 3 2 6 4 1 4 3 2 3 3 2 2 3 3 4 1 2
## [22069] 3 4 1 4 4 3 4 2 6 2 6 2 6 1 2 4 6 3 3 6 3 2 1 3 6 3 4 3 6 3 3 3 1 1 2 4
## [22105] 2 6 4 2 3 2 3 4 6 4 3 2 3 6 3 4 3 3 3 6 4 3 6 2 3 2 2 2 6 4 1 6 2 5 4 2
## [22141] 4 3 3 2 6 3 3 6 3 4 2 6 6 6 6 3 3 6 3 3 4 6 4 3 3 6 2 4 2 6 2 6 6 6 2 1
## [22177] 2 1 5 2 1 2 3 2 1 6 4 5 3 3 6 2 5 6 6 5 6 2 6 2 3 4 4 4 3 4 3 3 5 6 1 4
## [22213] 6 5 3 6 3 4 1 5 6 4 6 3 6 3 6 2 6 4 4 4 2 2 3 1 2 2 6 6 2 3 3 3 2 3 4 4
## [22249] 2 3 3 4 6 4 6 1 1 3 2 6 6 6 2 4 3 3 3 4 6 6 6 3 1 3 6 6 3 4 3 2 1 4 3 3
## [22285] 2 4 5 4 6 6 3 5 6 2 2 6 2 3 4 2 6 3 6 3 5 3 4 6 6 3 5 4 2 4 3 6 3 5 3 4
## [22321] 3 3 6 3 5 3 1 2 3 3 4 6 6 2 3 3 3 6 1 4 4 5 3 4 1 5 5 1 4 4 2 3 6 4 3 3
## [22357] 6 4 4 3 3 4 3 5 6 4 3 4 3 3 6 6 3 2 5 6 3 3 3 3 2 4 3 5 3 5 3 3 4 3 6 3
## [22393] 3 1 4 3 4 6 1 3 6 3 4 2 2 6 3 4 5 4 3 3 4 6 3 1 6 2 5 3 3 3 3 3 3 1 3 3
## [22429] 6 4 3 4 4 3 6 4 3 6 3 3 3 1 1 6 3 2 4 2 3 1 6 6 6 4 3 3 5 3 3 4 6 3 6 4
## [22465] 2 1 1 2 6 6 2 1 3 3 1 6 2 3 4 3 3 3 4 1 2 4 3 1 2 2 6 5 4 1 3 3 3 5 4 3
## [22501] 2 5 4 1 4 1 6 4 3 2 5 2 6 2 1 3 3 3 1 2 1 2 6 1 3 2 3 6 2 6 4 4 3 4 6 3
## [22537] 4 5 4 2 2 4 3 3 6 2 3 6 1 6 4 4 2 3 2 4 6 4 3 3 2 3 6 2 6 1 3 3 6 3 1 3
## [22573] 4 5 1 6 4 6 6 6 2 4 3 3 4 1 1 5 6 1 3 1 2 6 3 3 3 4 2 6 6 5 6 2 4 3 3 6
## [22609] 2 2 6 2 2 1 3 4 6 3 4 3 2 3 2 4 6 6 3 3 2 5 2 3 4 6 1 6 4 4 3 4 4 3 3 6
## [22645] 6 5 1 5 3 4 4 6 2 4 4 4 3 5 2 6 3 3 2 3 4 6 3 4 2 6 5 4 2 3 3 2 6 6 4 6
## [22681] 3 3 6 6 3 3 4 3 4 6 4 6 6 4 3 4 2 3 2 4 4 5 2 2 6 3 6 6 6 6 3 4 6 3 3 3
## [22717] 6 3 1 4 2 6 1 4 4 4 3 3 4 1 4 2 2 3 5 1 6 6 6 6 3 6 1 3 3 3 2 3 3 3 6 2
## [22753] 6 1 1 6 1 3 2 2 1 4 4 6 4 3 2 4 6 5 2 4 6 4 3 4 3 3 3 5 6 2 2 3 6 2 6 6
## [22789] 3 3 2 3 6 6 2 5 6 6 3 3 3 5 3 6 3 2 2 1 3 4 6 5 4 3 3 4 4 1 3 4 2 2 3 3
## [22825] 2 4 2 3 3 4 3 4 4 2 4 1 6 3 3 2 3 6 1 6 3 6 6 3 3 4 6 4 3 6 3 5 4 6 6 3
## [22861] 3 2 2 3 6 3 1 3 3 2 3 6 5 2 6 6 3 4 3 3 5 4 1 2 1 2 1 3 1 3 3 5 2 3 3 4
## [22897] 3 4 4 4 3 3 3 6 5 6 2 6 2 4 5 3 6 4 4 3 4 2 3 4 1 5 3 3 3 1 6 3 6 3 4 2
## [22933] 3 3 1 4 5 4 3 3 4 4 1 2 2 3 4 3 3 3 1 1 6 5 3 1 6 3 3 3 1 3 6 2 3 6 4 2
## [22969] 3 6 2 1 4 4 4 3 3 3 2 3 2 2 6 2 5 3 3 4 2 3 3 3 4 1 2 4 4 4 2 4 2 4 2 4
## [23005] 3 3 4 3 2 1 4 4 6 2 3 3 3 3 1 6 2 3 3 3 6 6 3 3 3 2 3 4 6 4 4 6 2 4 4 6
## [23041] 3 5 3 2 3 3 4 6 2 3 2 2 4 3 6 6 3 2 4 3 3 6 6 3 1 4 3 4 3 2 6 1 3 5 3 2
## [23077] 4 2 3 1 2 3 6 3 3 3 3 3 4 5 2 3 4 4 3 5 3 2 3 3 3 3 3 3 2 4 3 4 3 2 3 4
## [23113] 2 2 3 3 6 1 5 3 3 4 3 1 4 6 3 3 3 2 6 5 3 3 4 6 5 6 3 6 3 3 2 2 2 4 3 3
## [23149] 4 3 3 2 3 5 5 3 1 3 2 4 6 6 6 2 3 4 6 2 2 3 6 3 1 3 3 4 2 3 2 4 3 4 2 6
## [23185] 3 6 4 5 3 6 2 3 3 5 6 4 5 2 2 4 4 3 3 3 6 3 3 6 3 1 6 4 3 3 6 3 3 4 4 3
## [23221] 6 1 4 6 6 4 3 4 4 2 4 6 2 6 3 3 2 3 2 2 2 3 3 6 5 2 1 2 6 4 4 2 6 3 6 3
## [23257] 2 3 3 4 3 2 2 3 2 3 6 3 6 1 6 1 3 4 6 3 6 4 3 3 3 5 1 5 1 6 2 4 1 3 6 6
## [23293] 2 4 3 3 1 1 6 2 3 6 6 5 6 2 6 2 3 2 2 4 2 1 4 3 3 2 4 6 6 3 6 1 3 6 1 3
## [23329] 2 3 3 3 3 5 3 4 6 2 6 4 3 3 4 4 3 3 3 4 2 1 3 2 4 3 4 6 1 6 4 6 3 6 3 1
## [23365] 3 3 3 1 1 6 6 1 3 4 1 6 5 3 6 4 4 6 2 3 2 1 3 2 6 4 6 2 3 5 1 4 2 6 3 2
## [23401] 4 3 3 2 6 5 6 6 6 2 4 4 6 4 2 6 6 4 3 1 5 1 6 4 1 1 4 3 5 3 6 3 3 6 2 4
## [23437] 1 4 1 6 4 6 3 3 2 6 3 3 6 2 3 2 6 2 2 2 4 6 4 2 2 2 4 2 2 2 3 3 3 1 6 3
## [23473] 1 2 6 1 6 3 3 6 3 3 3 4 6 6 6 3 3 3 1 1 4 3 6 1 6 4 6 6 4 3 6 3 4 5 3 5
## [23509] 3 3 3 1 3 4 4 3 3 4 3 2 3 1 4 3 3 6 6 3 6 6 6 1 3 4 3 2 3 2 2 4 2 4 6 4
## [23545] 1 1 4 3 3 4 3 4 2 3 6 1 2 3 6 4 6 1 3 4 4 5 2 2 2 6 6 4 1 4 3 2 2 4 1 2
## [23581] 3 6 3 3 6 3 6 4 3 3 3 6 3 4 4 4 6 2 1 4 4 3 4 6 6 5 3 4 1 6 6 3 5 3 3 2
## [23617] 2 3 4 1 1 1 5 4 3 4 4 2 2 3 3 2 3 6 4 3 4 5 3 4 2 4 3 4 6 3 5 4 4 3 3 2
## [23653] 6 3 3 3 3 3 3 4 5 6 6 3 3 6 3 3 4 3 4 4 6 3 3 4 3 4 3 6 6 4 5 1 4 6 3 6
## [23689] 3 4 4 4 2 4 6 3 2 3 5 4 2 6 6 2 3 3 6 3 4 2 6 6 2 6 2 3 4 2 3 4 3 4 6 3
## [23725] 6 3 3 2 3 1 4 6 3 1 3 2 4 6 6 6 4 3 3 6 6 3 2 3 3 3 3 3 4 6 2 3 2 6 3 3
## [23761] 1 4 6 6 2 1 3 5 6 6 3 6 6 3 3 4 2 2 4 5 6 1 4 6 2 1 6 2 5 4 6 3 6 3 4 3
## [23797] 2 4 5 2 3 6 2 4 6 4 3 1 5 6 3 5 1 2 6 6 6 6 4 6 1 6 3 2 6 3 6 6 6 3 3 6
## [23833] 3 6 6 3 6 3 6 4 3 4 2 3 6 1 5 4 5 4 3 3 2 6 3 4 1 4 2 3 4 2 6 1 6 6 2 3
## [23869] 6 2 5 4 3 3 1 1 3 3 6 2 4 2 6 3 4 2 4 1 3 6 4 3 1 3 4 2 3 3 6 1 2 6 6 5
## [23905] 1 2 1 1 3 2 2 5 6 6 6 6 2 4 4 2 6 3 4 4 6 3 2 1 6 3 1 6 6 3 4 5 3 5 3 2
## [23941] 3 6 4 4 3 2 6 6 6 3 6 4 2 2 2 4 2 1 4 6 3 6 1 4 6 5 2 4 4 2 3 4 4 1 1 6
## [23977] 2 3 6 3 3 6 3 3 4 6 3 2 1 2 6 2 3 2 4 5 2 2 4 3 3 4 6 6 1 4 1 6 2 2 1 6
## [24013] 4 6 2 2 4 3 3 5 4 3 2 1 4 3 6 6 2 6 6 3 5 6 2 4 6 2 3 3 6 4 6 4 4 3 2 6
## [24049] 3 2 2 6 2 3 2 6 6 2 3 1 6 4 1 4 3 4 4 3 6 3 6 1 3 6 5 6 3 2 3 1 2 2 3 6
## [24085] 3 3 3 3 6 1 4 5 2 5 1 2 6 3 3 3 3 3 3 2 3 1 2 5 2 4 3 2 4 3 6 6 3 4 3 2
## [24121] 3 1 4 3 2 3 3 2 4 4 4 3 4 6 4 3 5 1 5 6 6 4 4 2 6 4 1 2 6 2 5 4 5 3 2 3
## [24157] 2 6 4 3 2 6 1 5 3 2 4 6 2 2 4 3 6 1 6 3 4 3 2 1 6 6 2 6 2 3 4 2 3 6 3 2
## [24193] 2 1 3 3 6 6 1 6 3 3 4 3 3 3 1 4 6 6 4 6 4 4 2 5 4 3 5 6 6 4 2 6 3 5 4 3
## [24229] 4 6 6 6 4 2 3 4 3 3 6 2 4 3 3 3 3 3 3 5 6 6 6 2 2 4 3 6 3 2 3 1 6 3 4 2
## [24265] 4 3 2 6 6 2 3 3 4 3 5 6 3 3 3 4 3 3 2 2 3 1 3 4 1 3 3 1 6 3 2 3 6 1 3 3
## [24301] 1 2 4 3 3 3 6 3 6 6 3 3 4 3 3 3 6 6 2 3 3 6 1 5 5 3 3 4 2 2 2 2 1 3 3 3
## [24337] 3 3 2 4 3 4 6 6 6 1 1 3 5 3 4 6 5 1 3 1 6 6 4 5 3 2 2 6 3 3 6 2 3 2 3 2
## [24373] 2 5 3 6 3 3 6 4 6 4 2 3 5 2 4 3 5 6 4 3 3 4 1 4 1 2 2 6 3 6 6 6 4 2 1 1
## [24409] 3 6 4 4 2 2 2 3 3 3 2 3 2 5 5 6 3 5 6 1 4 4 6 4 6 3 3 2 2 3 1 2 2 3 1 2
## [24445] 6 6 2 3 2 5 5 4 3 5 6 3 3 3 3 6 6 4 6 4 5 6 3 2 1 4 4 4 2 2 6 2 5 6 5 1
## [24481] 1 6 2 1 5 6 3 5 6 6 3 3 3 3 3 3 4 4 1 1 1 3 4 3 1 6 1 2 5 1 3 2 3 6 6 4
## [24517] 3 2 3 2 3 6 2 6 2 3 2 3 4 6 2 3 3 6 3 6 3 2 2 2 6 2 1 3 3 4 4 4 1 2 4 4
## [24553] 1 4 6 3 3 3 4 3 3 4 3 4 4 4 2 4 4 5 6 5 3 4 3 6 1 3 6 4 1 2 1 6 1 3 6 1
## [24589] 3 2 6 3 4 2 4 6 4 3 4 3 3 2 3 3 3 4 3 4 3 2 3 6 6 6 3 3 6 4 1 3 3 1 1 2
## [24625] 6 3 5 2 4 3 1 1 6 3 3 3 5 4 1 1 3 1 1 6 2 6 1 1 3 3 3 4 6 3 6 2 6 3 2 3
## [24661] 3 3 4 6 6 3 5 3 2 6 3 3 3 2 3 4 5 4 3 5 3 6 6 2 3 3 2 3 1 5 6 1 6 5 3 5
## [24697] 6 3 4 5 6 5 1 3 6 3 4 6 6 3 1 2 2 2 2 3 3 3 6 3 1 5 6 4 2 5 2 5 3 3 4 4
## [24733] 3 2 6 4 5 3 6 4 4 6 2 1 6 1 6 3 2 2 6 6 2 3 4 1 1 3 6 3 1 6 6 3 3 5 2 2
## [24769] 3 2 2 1 2 3 4 2 4 2 3 6 6 5 4 3 3 4 6 3 2 5 1 6 4 6 6 2 3 6 3 5 5 3 6 2
## [24805] 6 3 2 2 3 6 2 4 4 4 2 6 1 4 3 4 4 6 3 3 3 2 3 4 2 3 1 3 3 4 2 4 3 6 3 2
## [24841] 3 2 1 6 2 4 6 4 6 6 4 4 5 3 2 3 3 2 4 2 6 4 4 3 5 6 3 3 4 1 2 3 5 4 6 6
## [24877] 2 6 6 2 2 4 2 6 2 3 6 4 3 6 2 4 6 6 2 6 3 4 2 2 4 3 3 3 6 3 3 3 4 4 6 4
## [24913] 2 3 3 4 4 2 4 6 6 2 6 3 3 5 3 3 6 6 4 4 1 3 3 4 6 1 1 2 4 3 3 6 3 3 3 1
## [24949] 4 1 4 3 3 4 5 3 5 2 4 6 2 6 3 3 3 2 6 6 4 3 2 1 6 2 2 4 4 6 6 3 2 6 6 3
## [24985] 3 6 2 3 3 3 6 3 3 4 4 3 4 3 4 3 3 4 4 4 6 6 4 4 1 3 2 3 5 2 4 5 3 5 2 6
## [25021] 3 3 2 6 4 3 1 3 5 6 3 3 6 6 1 3 2 6 3 3 3 3 2 6 1 2 3 6 3 4 2 6 3 3 3 3
## [25057] 2 6 6 1 3 4 2 6 5 6 4 1 4 6 4 1 4 6 3 3 6 2 6 4 1 3 1 5 4 2 6 3 6 3 6 4
## [25093] 6 4 6 4 6 3 4 3 4 6 3 5 2 4 1 2 3 1 6 4 4 2 4 4 4 4 2 2 2 3 3 3 1 3 2 3
## [25129] 3 4 4 6 3 5 2 5 1 6 6 3 6 1 6 6 3 2 3 4 6 4 3 3 3 4 6 3 4 4 6 3 4 6 3 1
## [25165] 4 6 6 6 3 1 4 5 4 3 3 3 6 4 4 1 2 4 4 4 3 6 3 2 2 3 5 3 6 3 2 3 6 3 4 3
## [25201] 2 1 3 2 2 1 3 2 6 4 2 6 4 6 4 3 6 3 3 3 1 3 2 2 3 3 6 1 3 3 3 1 6 6 3 4
## [25237] 2 2 4 3 6 6 3 6 3 4 2 3 4 2 2 4 4 4 3 5 3 4 6 1 3 3 3 6 2 4 3 6 3 3 6 3
## [25273] 4 5 4 3 3 1 2 6 3 4 1 3 3 2 2 2 2 4 2 4 4 3 6 4 6 4 6 3 1 4 3 4 4 1 6 6
## [25309] 3 6 3 3 2 3 4 6 1 4 4 2 2 6 4 5 2 6 3 6 6 6 6 6 3 4 6 4 5 4 4 5 5 1 5 5
## [25345] 3 1 3 6 6 4 6 3 1 6 6 6 3 2 3 2 6 1 6 2 2 3 4 4 3 4 3 2 4 2 2 3 1 3 3 3
## [25381] 2 3 4 2 3 3 2 3 3 2 3 2 5 6 2 6 3 3 3 3 3 4 2 1 4 3 6 3 4 6 3 5 6 3 3 1
## [25417] 6 4 3 4 2 2 3 4 2 3 6 2 6 3 3 2 4 2 5 4 4 3 3 3 3 6 3 4 6 5 5 2 1 3 2 6
## [25453] 3 6 3 6 3 4 1 1 2 6 4 3 3 2 1 3 5 1 3 6 2 2 4 2 6 2 4 2 3 3 6 6 3 6 5 4
## [25489] 4 5 6 4 3 1 6 5 1 4 2 4 2 3 6 4 4 3 2 2 1 3 2 2 4 3 2 3 3 3 3 2 6 3 6 3
## [25525] 4 3 3 4 6 3 3 3 4 5 4 4 2 4 6 1 3 2 4 4 6 3 1 6 4 3 3 6 4 2 3 3 2 6 4 6
## [25561] 6 6 6 6 3 2 6 4 6 4 3 3 3 6 2 3 6 5 3 6 3 3 2 1 4 6 4 3 3 4 5 5 1 6 2 4
## [25597] 4 6 1 6 6 2 3 4 6 6 4 4 4 3 3 3 3 4 4 2 6 3 6 4 6 6 2 6 2 2 6 3 1 2 1 1
## [25633] 5 3 4 3 4 3 3 4 1 4 6 3 4 3 3 3 5 3 3 2 6 4 4 4 3 3 2 4 2 2 2 1 2 3 3 4
## [25669] 3 2 3 5 5 3 2 4 6 6 3 2 1 2 3 2 3 2 3 6 6 1 2 3 5 5 4 4 1 2 4 3 4 5 3 2
## [25705] 2 6 4 6 1 6 3 6 1 6 3 2 4 6 6 3 1 2 6 4 4 6 3 6 5 3 2 3 3 1 6 2 4 3 2 5
## [25741] 6 3 3 5 1 6 2 2 2 4 3 2 3 4 2 3 6 3 5 1 6 5 4 1 1 1 1 3 5 4 2 3 2 1 3 4
## [25777] 3 6 6 4 3 2 6 5 2 2 2 6 3 2 3 3 5 6 6 1 5 2 4 4 4 5 2 6 1 3 5 3 3 3 2 5
## [25813] 6 1 3 3 2 3 3 6 4 4 3 2 2 3 3 6 3 6 2 4 6 6 3 1 6 6 1 4 3 3 2 5 4 6 4 1
## [25849] 3 6 1 3 3 3 2 3 3 4 4 3 3 3 3 2 3 3 4 3 3 2 3 3 3 6 6 3 6 3 2 3 6 1 3 2
## [25885] 3 1 4 5 3 6 1 4 1 3 3 1 3 1 3 3 4 3 2 6 2 2 3 1 3 5 3 3 6 6 6 2 3 3 4 2
## [25921] 6 2 3 3 5 2 3 3 1 6 2 3 1 2 2 4 3 4 6 4 3 3 6 3 3 4 2 2 4 6 3 4 2 1 6 5
## [25957] 3 3 6 6 5 6 6 2 4 2 2 2 3 4 1 2 3 3 4 2 2 4 3 5 4 5 3 3 3 6 3 6 3 1 6 5
## [25993] 4 4 5 3 1 3 3 2 3 6 2 4 3 2 2 3 6 2 6 3 6 3 3 4 1 3 3 4 3 3 6 2 2 1 2 3
## [26029] 4 3 1 6 5 1 1 4 3 3 3 4 1 1 3 3 3 4 4 3 1 3 3 3 6 6 6 3 1 2 3 3 6 4 2 3
## [26065] 2 4 3 2 2 2 4 3 2 2 3 3 6 2 6 3 3 1 2 3 1 2 1 3 6 2 3 6 1 4 3 2 2 6 4 4
## [26101] 6 6 3 3 6 2 2 2 4 1 4 3 3 2 3 2 3 4 6 6 4 1 6 2 6 4 2 6 4 3 3 2 6 3 6 3
## [26137] 3 6 6 1 2 6 6 5 2 6 1 3 4 3 6 3 3 4 2 1 6 3 3 6 3 3 2 5 6 4 2 6 6 3 3 4
## [26173] 2 3 3 1 6 3 3 3 1 3 4 2 3 3 6 4 1 6 4 1 6 4 5 5 1 3 3 2 4 1 2 5 2 6 6 6
## [26209] 3 2 3 6 3 4 3 2 3 3 4 3 3 5 4 2 3 3 4 3 6 4 3 4 6 4 2 3 3 1 2 4 5 3 4 3
## [26245] 6 1 2 4 2 4 4 2 3 1 3 6 3 2 4 6 4 1 3 5 3 6 6 6 3 5 4 6 3 4 3 6 4 1 1 4
## [26281] 6 4 4 6 4 6 4 1 3 4 6 3 4 6 1 6 1 3 5 6 3 3 6 3 1 1 1 1 4 3 3 2 6 3 3 4
## [26317] 4 3 5 3 1 6 3 1 3 3 1 4 5 6 6 1 1 4 4 1 1 6 3 2 3 3 3 3 3 3 3 4 2 3 6 2
## [26353] 2 4 4 6 6 4 3 4 6 2 1 4 1 6 2 3 3 3 2 3 5 3 3 3 2 4 4 3 3 2 2 1 3 2 3 6
## [26389] 3 2 3 3 1 1 6 3 3 6 2 2 3 1 3 2 1 3 2 4 6 3 3 6 4 3 4 6 3 3 3 6 4 4 3 4
## [26425] 2 2 4 6 3 3 4 3 3 6 5 2 6 3 2 6 2 3 4 4 6 1 2 5 3 5 1 5 6 3 5 6 6 3 3 3
## [26461] 6 6 2 3 4 1 3 6 1 3 6 2 6 2 3 3 4 2 4 2 1 1 4 4 3 6 2 1 6 2 4 3 3 2 6 3
## [26497] 2 2 3 4 3 2 6 6 3 4 4 3 6 2 3 2 3 1 5 3 6 6 4 6 3 5 5 2 2 1 2 6 2 6 2 3
## [26533] 2 2 4 4 3 4 5 2 6 4 2 2 3 5 1 5 2 5 1 4 3 4 3 4 3 2 1 6 3 3 3 5 3 6 4 2
## [26569] 2 6 6 2 3 6 6 3 4 3 3 1 5 4 3 4 6 3 5 3 6 1 4 5 3 2 3 3 6 3 4 4 3 6 3 2
## [26605] 3 4 4 6 4 1 3 2 3 1 1 2 3 3 2 4 4 6 3 1 3 1 3 4 6 1 4 3 4 6 4 6 1 3 3 4
## [26641] 4 3 3 5 4 2 6 4 4 3 3 5 2 6 2 3 4 2 6 4 1 3 3 4 5 1 3 2 3 2 5 2 2 2 2 6
## [26677] 2 3 1 6 6 3 3 6 6 6 4 3 5 3 6 4 2 3 4 3 3 6 4 1 6 2 3 4 6 5 2 1 6 3 3 2
## [26713] 5 3 6 5 3 5 4 1 6 6 3 1 1 6 6 4 6 3 6 1 3 2 4 3 6 3 3 4 3 6 4 3 4 3 2 3
## [26749] 3 5 3 4 2 1 3 4 6 4 4 3 3 2 3 6 3 3 3 3 3 4 2 5 4 5 1 6 6 6 3 3 1 3 2 2
## [26785] 1 4 6 5 5 3 4 2 1 3 6 2 3 3 3 3 6 3 4 4 4 2 6 3 4 4 3 3 4 4 4 6 2 6 6 4
## [26821] 2 2 6 3 6 4 6 5 4 3 4 1 3 6 1 4 6 3 4 6 1 4 3 4 2 6 3 5 6 2 3 3 4 1 6 4
## [26857] 6 3 3 6 6 2 5 6 3 1 6 2 5 6 2 1 6 2 2 3 4 3 4 2 4 3 4 3 2 2 4 6 5 4 1 3
## [26893] 4 3 2 3 2 4 3 6 6 1 2 5 1 4 1 3 2 2 2 4 2 3 3 3 4 3 2 5 3 1 3 4 6 2 6 3
## [26929] 3 6 3 6 1 3 3 2 3 3 4 3 3 3 4 3 5 1 3 4 2 4 4 3 2 3 3 4 3 1 2 2 3 2 1 1
## [26965] 4 4 1 2 6 2 3 3 2 1 6 1 2 6 4 3 6 1 6 3 1 6 4 3 3 2 3 2 3 6 6 4 3 3 1 5
## [27001] 3 5 6 2 3 2 1 2 3 1 2 2 3 6 4 3 5 3 2 2 3 4 3 6 3 2 6 4 2 3 4 6 6 1 2 3
## [27037] 4 3 3 4 4 4 1 3 3 3 3 3 3 4 2 3 3 3 4 3 6 4 3 3 1 4 6 1 3 2 4 4 2 6 6 3
## [27073] 6 2 1 4 1 6 2 3 2 4 3 4 4 3 4 3 6 6 2 4 3 4 6 3 3 3 2 2 4 6 3 4 3 3 6 3
## [27109] 2 1 3 4 3 1 3 3 3 4 2 3 6 6 3 3 4 2 1 2 4 6 1 2 4 2 3 2 3 3 3 6 6 5 4 3
## [27145] 4 3 6 4 6 3 3 6 6 2 6 6 6 2 1 2 6 4 4 3 3 4 3 6 6 4 4 3 5 2 4 4 6 4 1 3
## [27181] 5 1 4 1 6 2 3 1 4 3 1 4 5 2 2 1 3 2 3 3 4 3 1 3 3 4 4 5 6 3 3 4 1 3 3 2
## [27217] 3 5 2 6 3 6 4 3 2 6 3 3 4 2 4 6 3 1 2 2 3 2 4 3 4 3 1 4 4 2 2 3 3 3 3 3
## [27253] 3 2 2 4 1 4 2 3 2 2 6 6 4 4 3 4 3 1 5 6 4 5 3 3 4 5 3 3 4 3 2 3 1 3 3 3
## [27289] 6 4 3 2 4 5 2 4 3 3 3 4 6 3 1 4 6 2 5 3 4 1 3 6 2 5 3 5 4 4 4 1 3 1 1 4
## [27325] 2 4 6 2 2 3 3 6 2 4 3 1 6 4 3 2 3 2 5 4 3 2 6 4 4 2 3 2 1 4 5 4 4 2 4 5
## [27361] 3 4 1 4 5 1 2 3 4 4 3 3 3 3 3 6 2 3 6 3 4 6 2 6 4 4 2 3 2 6 1 2 6 3 6 4
## [27397] 6 6 2 3 3 3 6 6 2 1 6 3 3 3 3 4 3 6 6 3 6 2 6 3 1 3 3 3 3 3 3 3 2 3 1 5
## [27433] 2 6 6 6 1 4 4 6 6 6 4 6 1 1 5 1 5 4 4 3 3 3 6 3 1 3 4 3 4 6 4 3 3 3 3 3
## [27469] 6 3 1 2 6 6 3 3 2 6 6 5 3 4 3 3 4 4 4 2 6 3 6 3 3 4 1 1 3 2 1 4 3 6 2 4
## [27505] 4 6 2 2 3 4 2 6 3 4 1 1 3 3 2 3 1 3 2 3 1 3 5 2 1 2 4 3 4 4 4 2 3 1 4 4
## [27541] 3 4 1 3 3 3 2 6 1 4 4 2 6 3 1 3 1 1 2 6 6 2 3 5 1 2 2 6 1 2 4 5 1 3 6 5
## [27577] 4 6 6 2 2 6 3 6 2 2 4 3 3 2 4 1 3 3 6 6 2 2 2 4 6 4 3 3 4 4 3 1 2 3 4 3
## [27613] 3 6 6 3 1 6 6 6 3 3 2 6 6 4 4 4 3 6 6 5 6 3 1 6 3 2 3 4 2 2 6 2 4 2 1 1
## [27649] 3 4 5 4 6 3 6 2 2 4 6 1 4 3 6 6 6 3 6 1 6 4 2 5 6 5 4 3 5 3 3 3 1 3 6 2
## [27685] 6 5 2 6 2 4 5 3 6 3 6 3 1 4 5 4 6 5 4 4 3 3 4 3 5 6 6 5 6 6 2 3 3 6 6 4
## [27721] 6 2 3 3 2 2 4 3 2 2 2 4 4 2 3 6 3 6 4 3 3 4 6 3 4 3 2 6 1 6 6 6 3 2 3 6
## [27757] 2 4 6 2 6 3 5 4 6 3 2 3 3 3 6 1 2 3 3 4 3 4 6 3 6 4 6 2 6 1 6 4 3 3 1 2
## [27793] 5 6 3 3 2 6 6 5 3 4 5 4 1 6 4 4 1 3 1 3 3 3 6 3 4 3 5 2 3 4 6 4 3 2 6 2
## [27829] 2 3 2 3 1 3 3 3 4 6 2 4 3 4 3 4 6 3 6 5 3 4 5 5 3 1 3 2 4 2 3 6 6 3 2 2
## [27865] 4 6 6 2 3 3 2 1 2 6 1 3 6 6 6 6 2 4 6 3 2 3 4 3 4 6 6 4 6 6 4 2 3 3 2 3
## [27901] 6 4 2 3 3 6 3 3 4 6 1 3 2 6 4 3 3 1 5 3 1 3 5 3 2 3 3 6 1 6 3 6 4 4 6 6
## [27937] 5 6 3 6 1 2 5 3 4 6 3 3 3 2 1 1 2 4 3 2 3 6 3 3 6 4 2 3 1 3 1 1 4 2 6 4
## [27973] 3 1 6 2 4 6 2 3 6 6 1 3 6 6 4 1 4 1 4 1 1 3 3 3 5 3 3 2 1 4 3 2 6 2 4 6
## [28009] 5 3 3 2 2 3 3 1 2 3 3 3 6 1 4 3 2 3 3 6 2 6 2 3 1 2 6 4 1 1 3 3 6 3 2 5
## [28045] 2 2 6 4 5 1 3 3 2 2 2 1 3 3 6 3 1 4 3 4 4 5 3 1 3 4 3 2 2 2 3 3 5 3 2 6
## [28081] 4 5 6 3 3 1 3 6 6 4 2 4 4 3 1 6 3 2 3 4 4 1 5 3 4 2 1 3 3 3 3 2 2 4 3 4
## [28117] 6 6 4 3 5 1 1 6 3 1 3 4 3 1 3 3 3 5 3 3 5 2 4 3 6 2 3 3 2 2 3 6 4 3 2 3
## [28153] 3 3 3 2 6 3 6 5 3 3 4 4 3 3 6 3 3 6 3 6 3 5 5 3 6 3 3 4 6 4 3 1 4 6 3 5
## [28189] 6 2 6 6 4 1 2 3 3 3 3 1 3 3 6 4 1 6 3 6 2 3 4 4 3 6 1 1 3 1 2 2 2 3 6 3
## [28225] 3 6 3 5 3 6 3 3 4 6 3 6 6 3 3 3 5 3 4 6 4 6 5 1 3 3 1 4 1 3 1 1 3 1 3 3
## [28261] 1 5 1 1 4 6 3 6 4 6 4 3 2 2 3 3 3 6 3 3 3 3 6 3 3 4 4 2 2 1 3 4 3 5 4 2
## [28297] 3 6 3 1 2 3 4 2 4 6 2 4 4 1 6 3 3 2 2 3 2 3 3 4 2 5 1 1 4 1 6 3 3 3 3 2
## [28333] 6 3 6 4 4 2 3 3 6 1 4 3 1 1 6 6 3 2 3 6 3 4 6 3 3 5 6 1 6 6 5 4 4 6 2 6
## [28369] 3 3 6 6 3 3 4 3 6 4 2 3 4 4 3 3 3 3 6 6 4 4 2 1 4 5 4 6 3 2 2 6 6 1 4 6
## [28405] 2 3 3 1 3 3 4 6 2 4 6 4 3 3 4 6 5 6 3 2 6 3 3 1 2 2 2 4 6 1 3 3 4 3 3 3
## [28441] 4 6 6 1 2 2 4 4 6 3 6 4 4 5 1 6 2 5 3 3 4 3 1 3 3 3 3 5 6 6 4 3 2 5 3 5
## [28477] 3 6 3 6 3 3 3 3 4 6 4 3 6 3 6 3 1 2 3 3 1 1 2 3 6 1 2 3 5 6 3 4 2 3 3 6
## [28513] 6 3 3 4 3 3 6 4 6 3 1 5 5 3 3 3 2 6 6 6 1 3 3 2 2 2 3 3 3 4 4 4 3 3 4 6
## [28549] 6 3 3 4 6 4 3 3 3 6 3 4 1 3 4 2 4 6 6 3 5 3 2 2 3 5 4 3 2 6 2 4 5 4 3 3
## [28585] 3 6 5 3 4 4 4 1 4 4 4 3 3 3 6 6 2 2 6 3 6 1 4 3 1 4 4 3 2 6 2 6 2 3 6 2
## [28621] 3 3 2 2 2 2 6 3 3 4 3 4 4 3 3 4 1 6 2 3 3 1 3 6 3 4 4 4 1 3 4 1 1 1 3 6
## [28657] 4 1 5 1 1 3 5 6 6 1 2 3 3 1 3 1 6 3 5 2 3 6 3 2 6 2 2 2 4 4 6 6 6 2 3 6
## [28693] 4 2 1 3 6 3 4 2 2 3 2 2 3 4 3 3 4 6 2 2 5 4 1 4 6 4 6 1 3 2 3 6 6 4 3 3
## [28729] 2 5 3 5 4 3 3 3 3 3 1 6 3 3 3 3 2 1 3 3 2 2 6 1 3 5 4 4 4 3 6 4 4 5 6 3
## [28765] 4 5 6 3 3 4 6 1 1 4 1 3 3 3 2 6 4 6 3 4 1 3 2 3 4 3 1 4 3 4 6 4 3 6 3 1
## [28801] 4 6 3 3 3 3 6 6 2 3 6 2 3 2 4 3 3 1 2 6 3 4 1 1 1 6 4 3 3 1 1 3 2 1 3 3
## [28837] 2 4 1 3 6 2 2 2 3 4 4 4 3 4 3 6 4 3 1 6 3 1 4 3 1 6 1 3 3 1 4 3 3 4 3 6
## [28873] 4 4 3 3 3 4 6 6 1 1 1 5 6 3 3 4 3 3 4 4 6 6 3 6 3 6 6 2 3 4 5 4 4 3 3 3
## [28909] 3 1 4 6 5 4 4 6 5 6 4 3 6 2 2 3 3 5 2 5 4 1 2 6 1 3 1 1 3 1 2 6 3 3 1 2
## [28945] 3 4 6 2 6 4 2 1 6 6 5 5 3 6 3 2 2 3 3 3 3 2 4 3 4 6 4 3 1 2 2 3 2 1 2 6
## [28981] 2 4 6 6 5 3 2 2 6 3 3 6 2 6 6 4 4 2 2 4 3 1 2 1 4 3 6 3 4 6 3 2 4 3 1 5
## [29017] 6 4 3 3 1 1 6 3 4 3 3 1 2 1 3 3 3 3 3 6 3 6 2 6 3 6 6 2 2 3 4 2 6 2 2 5
## [29053] 6 6 6 1 6 6 2 5 3 4 6 4 3 3 6 6 4 3 4 3 3 6 4 4 2 3 5 2 3 2 3 6 4 2 2 6
## [29089] 4 6 3 2 3 3 3 6 3 2 4 3 6 3 3 4 3 1 1 5 3 3 1 3 6 3 6 2 3 4 6 1 6 3 3 2
## [29125] 2 3 3 4 3 3 2 3 3 3 1 3 1 6 6 3 2 1 3 4 2 2 3 6 5 1 1 3 3 2 5 2 2 3 4 2
## [29161] 3 4 2 4 3 2 1 3 6 4 1 4 1 1 3 1 5 1 4 3 5 2 3 3 3 3 6 1 3 4 2 2 3 4 3 2
## [29197] 3 1 2 4 3 1 4 4 3 6 4 2 2 6 3 1 3 6 1 3 4 4 2 3 3 5 3 2 2 6 3 1 3 1 2 1
## [29233] 2 2 1 4 4 4 1 4 3 4 3 4 4 6 5 2 2 3 6 3 6 2 6 5 2 6 3 3 4 2 5 2 2 3 2 3
## [29269] 4 1 2 4 3 2 6 3 2 4 6 3 3 3 2 4 1 4 3 5 4 2 5 3 3 6 2 3 3 3 6 4 2 2 5 6
## [29305] 1 1 1 6 4 2 3 1 3 2 2 4 4 3 3 3 4 3 4 3 3 3 1 4 6 6 5 6 2 6 2 4 6 5 3 4
## [29341] 3 6 6 3 2 6 2 3 5 6 6 6 2 6 3 2 2 3 6 3 2 4 2 3 6 1 3 4 3 6 3 1 6 6 3 3
## [29377] 4 3 1 3 3 3 3 3 1 6 1 6 3 4 3 2 2 1 1 1 3 5 5 4 1 6 3 1 6 1 4 6 2 2 1 2
## [29413] 3 6 1 1 2 6 3 5 3 4 6 6 2 3 4 4 3 2 2 4 6 5 1 4 3 6 4 3 3 3 4 3 4 3 4 3
## [29449] 3 6 6 5 3 4 2 5 4 1 3 1 6 6 3 1 4 2 3 1 3 2 4 6 6 3 4 4 1 1 6 6 3 3 5 6
## [29485] 6 4 6 3 3 1 3 2 6 3 6 6 1 4 6 6 6 4 2 2 5 6 6 3 4 3 4 5 6 3 6 6 4 1 4 1
## [29521] 3 6 6 6 4 4 2 3 4 3 2 4 3 4 3 3 6 2 3 3 3 4 6 3 4 2 6 1 5 6 3 2 2 2 4 3
## [29557] 1 3 3 6 4 4 5 6 4 3 6 2 2 3 2 6 3 2 6 2 5 5 2 1 1 3 1 3 4 1 1 2 1 4 1 4
## [29593] 2 2 6 3 3 2 2 3 2 3 4 4 6 3 6 5 6 6 2 3 4 2 4 1 2 4 6 4 3 6 2 2 3 6 6 2
## [29629] 2 4 6 6 2 6 2 3 4 6 1 6 6 5 1 3 4 3 4 4 3 4 3 3 3 2 6 5 3 3 3 4 3 4 6 3
## [29665] 5 2 2 2 3 3 4 3 3 6 4 6 1 2 2 6 1 4 5 4 6 3 2 3 1 3 3 3 2 4 4 3 1 2 3 3
## [29701] 3 4 3 2 3 5 5 3 2 2 6 3 3 6 3 3 2 5 6 1 4 3 4 3 6 2 3 3 4 5 6 2 1 2 3 3
## [29737] 2 2 3 4 5 4 3 5 2 4 5 4 3 3 6 4 2 3 6 6 6 5 3 3 6 3 3 6 4 2 3 3 3 4 4 6
## [29773] 5 3 4 2 1 3 4 4 2 6 1 3 3 1 3 3 4 6 6 3 1 4 3 3 2 1 4 2 3 3 6 6 3 2 6 3
## [29809] 6 4 6 5 4 4 2 4 1 6 1 6 3 6 2 3 6 3 4 3 4 3 6 1 4 6 1 1 6 3 1 2 1 6 6 5
## [29845] 2 6 6 4 3 6 2 1 2 2 3 3 3 3 4 5 3 1 4 1 3 3 1 6 2 2 3 2 6 3 6 6 3 6 3 3
## [29881] 3 3 6 3 1 4 6 4 4 2 3 3 2 2 2 6 3 2 3 3 3 6 6 1 2 6 6 6 3 4 1 3 3 3 4 4
## [29917] 3 1 3 3 3 2 4 3 6 2 3 3 6 4 2 4 3 2 4 4 4 2 1 3 3 1 5 4 2 2 4 4 5 2 6 3
## [29953] 6 3 3 4 3 2 4 3 6 2 2 3 4 3 4 3 6 2 3 3 2 3 1 2 3 5 4 4 4 6 3 4 3 3 4 3
## [29989] 3 6 4 3 4 6 2 2 6 3 6 3 3 4 1 6 4 4 1 1 2 4 5 3 6 3 6 5 4 2 2 2 4 4 2 2
## [30025] 3 3 3 5 3 3 3 4 1 1 4 4 3 3 3 2 4 4 2 3 2 6 4 4 4 3 3 4 4 6 3 5 4 2 4 3
## [30061] 6 2 1 2 6 2 3 1 4 2 4 2 3 3 2 4 3 4 3 3 6 3 1 6 1 6 3 3 5 6 1 6 2 4 2 3
## [30097] 6 6 2 4 3 1 3 2 3 3 3 3 6 6 5 1 2 5 4 3 3 3 2 6 3 6 1 3 1 6 3 1 5 4 3 1
## [30133] 6 3 3 2 1 4 6 1 6 3 2 4 2 6 1 4 3 3 3 2 3 3 5 4 5 3 3 4 6 3 3 6 3 2 3 2
## [30169] 2 2 2 2 4 6 6 2 3 3 2 1 3 6 3 4 3 5 2 6 3 5 3 2 4 6 6 4 1 1 6 5 4 2 3 3
## [30205] 4 2 6 5 3 3 3 6 4 2 3 4 2 6 2 6 3 5 3 3 2 6 3 6 3 3 4 2 4 3 3 6 6 6 2 3
## [30241] 2 2 1 3 5 6 4 4 1 1 5 6 2 4 3 1 4 4 6 6 2 2 1 3 3 6 3 2 2 3 6 2 3 2 2 2
## [30277] 4 4 4 3 2 2 5 3 3 6 1 2 3 2 3 2 3 4 2 5 2 3 6 6 3 2 4 3 4 3 3 4 3 6 4 4
## [30313] 3 2 4 3 3 1 3 4 1 3 3 2 3 3 6 3 3 6 6 3 4 6 4 3 1 3 6 3 6 5 3 3 2 6 4 4
## [30349] 3 3 6 6 3 4 3 2 2 1 3 6 6 1 2 5 3 2 3 4 4 4 3 4 2 6 5 3 4 3 6 3 5 4 3 4
## [30385] 1 6 4 6 1 6 5 3 3 4 6 2 6 3 3 3 6 5 2 3 4 3 1 4 3 6 1 3 3 1 3 4 6 4 1 2
## [30421] 2 3 4 5 2 6 6 3 6 3 6 6 3 6 4 4 1 2 3 6 4 2 6 5 1 6 3 4 6 6 6 6 3 1 1 2
## [30457] 4 3 6 3 5 2 6 6 6 3 3 1 3 4 1 6 1 1 3 6 1 6 2 3 4 3 1 3 3 3 3 5 4 3 3 4
## [30493] 1 6 3 3 3 5 6 6 6 2 5 3 6 4 6 6 3 2 2 3 1 2 4 5 2 4 3 4 6 1 1 3 4 3 6 5
## [30529] 3 2 1 6 3 3 6 6 6 6 6 6 3 2 2 4 4 1 2 2 3 6 3 4 6 6 1 6 1 1 6 3 2 2 4 3
## [30565] 2 6 3 3 3 3 3 6 3 3 3 6 2 3 3 6 4 1 3 6 6 3 6 6 4 6 4 3 3 1 2 2 3 3 3 3
## [30601] 3 3 2 3 2 5 2 2 1 1 3 6 1 6 3 4 3 6 6 2 6 5 3 1 1 2 3 6 3 3 6 3 3 2 6 3
## [30637] 1 6 3 4 5 3 2 2 6 4 4 3 1 2 4 3 1 3 4 4 4 6 6 1 4 6 6 5 1 6 6 3 4 3 2 6
## [30673] 6 5 4 4 6 3 6 4 3 3 2 6 3 6 3 6 6 6 3 4 3 3 1 2 3 4 6 4 4 3 6 2 1 4 3 1
## [30709] 2 3 3 6 3 3 3 2 1 3 4 2 6 6 4 6 2 4 5 3 2 3 3 3 3 2 3 6 5 3 3 2 3 5 5 3
## [30745] 2 6 2 4 4 6 2 6 6 4 3 6 4 3 3 6 4 1 6 2 2 4 2 6 2 1 4 3 3 3 5 6 6 3 4 2
## [30781] 6 3 6 3 4 2 6 6 3 6 3 4 6 5 3 4 6 1 2 3 4 5 6 2 3 4 1 3 2 3 3 5 2 3 1 3
## [30817] 3 3 4 4 4 2 3 4 6 3 4 3 1 4 3 1 3 4 3 3 6 4 4 2 2 2 4 4 4 4 4 6 3 6 6 1
## [30853] 3 2 1 3 3 3 4 3 2 4 1 6 3 3 4 3 3 2 3 2 2 6 3 3 3 1 3 1 1 3 3 5 3 1 1 6
## [30889] 1 1 1 1 3 4 6 3 1 4 4 4 2 4 6 3 6 6 3 4 3 3 6 1 2 2 2 6 3 2 4 6 1 2 2 5
## [30925] 3 3 6 6 6 3 4 3 2 5 3 6 6 2 6 6 5 3 3 1 4 3 4 4 4 3 3 2 3 3 3 4 1 4 3 4
## [30961] 4 6 6 4 6 3 4 4 3 4 6 3 5 2 3 6 6 3 3 3 6 3 3 6 3 3 2 6 6 2 6 3 3 1 3 3
## [30997] 1 2 4 1 2 4 3 4 4 3 3 4 3 3 6 3 2 4 1 4 6 1 4 3 4 2 6 6 6 3 3 3 2 6 4 2
## [31033] 1 6 4 6 4 3 3 6 6 3 3 2 5 6 2 3 3 6 5 5 6 6 6 2 4 4 3 6 3 1 1 4 2 2 2 1
## [31069] 3 3 4 4 4 3 5 1 6 1 2 2 4 3 6 2 3 4 3 4 4 6 4 1 3 6 4 5 1 5 1 5 4 4 4 4
## [31105] 5 2 2 4 4 3 3 1 4 3 2 4 6 3 3 4 2 2 4 6 3 4 5 1 6 1 3 4 2 6 3 4 1 2 6 3
## [31141] 2 2 6 6 4 4 3 3 4 3 3 2 4 6 3 1 3 1 2 4 3 3 3 3 6 2 1 6 4 1 5 1 6 4 3 4
## [31177] 6 4 4 3 6 6 3 6 6 3 1 3 3 5 2 6 2 6 3 6 3 4 3 3 4 1 3 6 1 6 3 4 3 6 2 3
## [31213] 4 4 3 2 3 2 3 2 4 6 1 3 4 6 4 6 6 3 3 4 6 6 3 6 6 3 3 4 3 1 4 6 4 6 2 2
## [31249] 6 3 1 3 3 2 4 3 4 3 3 3 3 2 3 1 4 3 3 2 6 2 4 4 1 3 5 4 3 4 3 6 4 4 4 3
## [31285] 5 3 2 3 3 1 3 3 1 2 3 3 6 3 6 6 1 6 6 2 6 6 3 6 2 4 3 1 3 3 3 6 4 3 4 2
## [31321] 1 2 3 3 3 3 1 3 6 6 5 3 2 4 3 4 6 2 3 3 6 2 1 6 3 6 3 3 6 6 3 3 2 3 4 3
## [31357] 4 3 3 2 3 4 3 3 3 5 4 6 4 3 1 1 1 3 1 3 2 1 6 3 4 4 4 6 1 2 2 4 5 4 5 4
## [31393] 3 2 1 3 4 2 3 3 4 4 4 6 2 3 3 1 5 3 1 4 3 3 5 3 4 3 4 3 4 3 1 4 3 3 6 3
## [31429] 2 6 3 4 4 1 4 6 3 3 6 3 4 1 6 6 1 2 2 1 3 3 3 2 3 3 4 2 4 3 2 1 6 6 6 1
## [31465] 4 3 2 4 4 5 3 6 3 2 3 3 1 6 3 3 1 4 4 4 4 6 6 3 3 6 5 4 2 5 2 4 5 6 4 1
## [31501] 3 4 3 1 1 1 6 3 3 3 1 6 4 5 4 4 6 3 2 6 4 2 6 4 6 1 6 5 4 3 3 4 3 3 2 6
## [31537] 4 4 3 4 2 3 6 3 3 3 3 4 3 1 2 6 3 2 3 3 5 2 2 3 2 6 2 6 2 2 4 4 3 1 4 3
## [31573] 4 4 3 3 6 3 3 1 4 3 3 4 3 2 3 4 4 1 1 1 1 3 1 4 3 5 6 4 2 4 3 6 2 3 3 6
## [31609] 6 2 1 1 6 2 6 4 2 3 3 5 3 4 3 6 4 6 2 3 3 1 4 1 3 4 2 6 4 1 3 4 2 4 6 4
## [31645] 2 2 2 2 6 3 2 4 2 3 5 6 2 3 4 6 3 3 4 3 6 1 6 2 4 3 1 6 6 6 1 4 4 3 6 2
## [31681] 4 3 2 4 6 3 6 4 1 1 6 1 3 3 2 2 4 3 3 4 2 4 6 3 5 3 6 4 3 6 3 5 2 4 4 2
## [31717] 4 6 4 4 1 3 4 4 2 6 5 3 3 3 2 6 2 4 4 4 6 4 2 6 3 3 3 6 2 3 5 4 3 1 3 3
## [31753] 5 2 2 2 4 3 6 3 2 3 6 4 3 4 1 3 2 4 3 3 3 2 1 4 3 2 3 4 2 2 2 4 3 4 3 3
## [31789] 6 1 3 6 4 6 3 6 4 4 4 2 2 3 3 3 6 4 6 3 4 2 3 3 6 3 4 4 3 3 4 3 4 6 2 2
## [31825] 4 3 4 6 6 4 3 3 4 3 3 3 3 3 3 3 3 1 6 3 2 2 2 3 6 3 3 3 3 6 6 4 4 3 3 3
## [31861] 2 6 6 3 6 2 6 3 5 1 6 2 2 4 6 2 1 3 4 3 6 5 2 3 3 3 2 6 4 4 1 1 5 6 3 4
## [31897] 4 5 1 3 2 6 5 4 4 3 5 6 3 6 2 3 3 3 6 3 4 6 2 3 4 3 4 2 6 3 6 4 3 5 3 2
## [31933] 6 1 3 4 2 4 6 3 4 4 3 2 6 3 3 3 3 1 1 3 3 4 6 4 3 4 2 1 6 3 4 4 6 6 3 5
## [31969] 2 1 3 3 3 2 6 6 1 2 3 3 3 2 6 3 6 3 1 3 4 3 3 3 3 3 3 1 3 6 5 2 1 3 4 3
## [32005] 1 3 3 2 2 2 4 4 3 3 3 3 3 3 1 3 2 6 3 4 3 2 3 5 4 6 5 4 3 3 3 1 4 4 2 4
## [32041] 2 6 4 6 5 2 3 6 3 3 3 2 2 2 3 6 1 6 5 2 3 3 3 3 6 3 4 4 3 1 2 4 5 3 6 4
## [32077] 1 3 6 3 3 3 2 3 6 6 3 4 6 3 4 6 2 3 4 3 4 3 3 4 6 6 5 4 3 3 4 3 2 3 2 6
## [32113] 3 2 6 2 6 3 1 3 4 4 2 4 4 6 4 6 3 1 3 3 4 2 4 2 3 2 3 6 1 4 3 4 5 6 5 1
## [32149] 6 4 2 3 3 3 6 3 3 3 3 6 3 3 2 3 2 5 6 4 4 6 4 3 1 2 6 2 6 1 4 3 3 6 3 6
## [32185] 2 2 1 6 5 3 3 3 3 3 3 3 6 2 3 6 2 3 6 2 2 2 3 4 3 2 6 3 4 3 3 6 3 4 6 3
## [32221] 3 2 6 4 3 6 3 5 6 6 2 4 6 4 2 4 2 3 2 3 3 1 4 4 6 6 3 2 6 6 3 4 4 6 6 6
## [32257] 6 3 2 3 5 1 6 2 6 6 3 6 6 2 3 6 6 6 3 6 5 4 3 3 3 3 6 4 3 3 6 4 3 3 2 6
## [32293] 4 4 4 1 3 3 4 6 6 3 3 6 3 3 1 1 3 6 3 4 6 4 3 3 1 4 3 2 5 3 2 2 6 2 2 4
## [32329] 1 1 6 3 3 3 4 2 3 6 3 3 3 3 4 5 4 6 6 6 6 3 5 2 2 6 6 4 1 1 6 6 2 1 3 3
## [32365] 2 4 2 2 1 3 1 3 4 1 3 6 4 2 1 6 1 1 3 3 4 3 3 6 5 4 2 4 2 3 1 3 4 4 6 1
## [32401] 6 3 6 2 6 1 1 1 3 3 4 2 3 2 2 2 4 1 1 3 2 6 3 3 1 1 1 6 6 4 2 1 1 3 6 3
## [32437] 3 1 3 4 3 1 3 3 6 4 4 2 3 3 3 4 3 1 3 4 3 4 2 1 3 3 4 2 2 2 4 4 2 3 5 2
## [32473] 3 3 4 3 6 3 3 1 4 4 2 2 4 4 3 3 2 6 4 3 4 4 5 6 4 4 4 2 3 4 3 6 6 2 1 6
## [32509] 4 2 4 4 5 6 2 2 1 2 6 3 3 3 4 3 3 4 4 4 6 3 6 3 3 6 3 3 6 1 6 1 5 6 1 1
## [32545] 4 3 6 6 2 1 2 4 4 3 1 3 4 6 3 3 6 2 3 6 3 2 1 1 1 6 5 1 2 3 6 4 1 3 2 3
## [32581] 6 4 4 4 2 1 2 3 3 6 2 6 1 2 2 2 6 3 3 4 3 2 6 3 3 3 4 6 4 3 3 6 6 4 2 6
## [32617] 4 4 3 3 4 6 1 2 6 6 4 6 3 3 2 6 5 3 2 3 2 4 4 3 6 3 5 6 4 4 3 6 2 4 3 2
## [32653] 3 3 2 6 1 2 2 4 3 1 4 3 6 6 3 4 3 3 3 3 6 3 4 3 2 5 3 4 4 4 6 3 5 1 2 3
## [32689] 3 2 4 3 3 1 4 2 2 4 3 3 3 3 2 1 1 3 3 4 1 1 2 3 6 2 4 6 4 6 3 2 2 3 1 2
## [32725] 2 3 5 6 2 6 3 2 3 4 4 3 4 3 5 3 3 3 2 1 1 4 3 4 4 3 3 3 2 6 3 2 3 3 6 4
## [32761] 4 1 3 4 3 3 3 3 2 3 3 2 4 3 4 6 2 4 1 2 3 6 3 4 4 6 3 4 6 6 6 3 1 3 3 6
## [32797] 5 4 3 4 2 1 1 4 3 2 3 3 2 6 2 6 3 4 3 6 5 1 5 2 4 3 3 2 3 6 3 4 3 3 2 4
## [32833] 4 4 6 2 2 3 2 2 3 6 4 4 5 3 4 5 4 4 4 3 3 6 6 3 6 3 1 3 3 6 2 6 2 3 3 4
## [32869] 3 6 3 2 6 6 3 3 6 2 6 4 5 5 1 3 4 6 3 3 2 4 2 5 2 2 2 2 2 4 3 6 3 4 3 3
## [32905] 6 1 2 6 1 3 2 6 6 4 4 3 5 6 3 6 3 6 4 2 3 1 6 3 6 3 2 4 2 3 6 6 1 4 1 3
## [32941] 6 3 1 6 2 3 2 6 6 3 6 3 3 6 6 3 3 6 4 4 1 6 4 6 3 2 3 3 2 6 6 2 6 3 1 4
## [32977] 6 3 2 3 3 3 4 3 3 2 1 5 2 2 4 4 4 3 4 4 1 3 1 3 3 2 4 6 1 4 4 4 4 6 4 4
## [33013] 5 2 3 1 4 1 1 2 3 3 1 2 4 1 6 4 3 6 4 2 6 3 6 3 6 4 3 3 3 3 6 3 1 3 4 3
## [33049] 4 2 3 4 4 3 2 6 3 3 6 3 3 6 2 2 6 3 3 3 5 3 4 2 1 1 4 2 6 4 1 4 3 2 3 4
## [33085] 2 2 2 3 6 1 6 3 3 4 3 2 3 4 4 5 4 6 3 2 3 2 5 3 6 4 3 3 6 1 6 3 5 6 2 6
## [33121] 3 6 1 3 4 6 2 3 4 3 1 3 3 6 2 3 3 3 6 4 3 1 4 3 6 4 3 4 4 6 4 3 6 2 1 1
## [33157] 6 6 3 1 4 4 3 3 3 3 1 6 2 3 2 3 4 3 6 1 3 2 4 3 3 4 6 4 2 4 3 3 3 4 1 5
## [33193] 3 2 6 3 1 4 5 3 3 3 1 3 6 3 2 3 3 2 2 3 4 3 3 4 3 4 3 6 4 2 4 1 6 4 6 1
## [33229] 4 5 4 6 2 4 1 6 5 3 6 3 4 6 2 3 2 4 2 4 3 2 4 6 6 2 6 3 3 3 3 2 4 3 3 1
## [33265] 3 3 4 4 3 4 3 1 3 4 4 3 3 2 3 1 6 4 4 4 4 4 3 3 3 4 1 4 1 1 2 3 2 2 3 3
## [33301] 2 3 3 3 6 6 2 3 3 2 3 3 2 3 2 3 4 3 5 2 4 2 4 2 6 4 4 2 2 3 3 4 4 6 3 2
## [33337] 2 3 4 3 6 3 6 3 2 3 6 2 2 3 3 4 6 3 3 2 3 2 2 6 6 1 6 3 3 5 1 3 6 1 4 3
## [33373] 4 3 3 3 4 3 2 3 2 3 3 2 2 6 6 2 6 6 3 2 2 2 3 6 3 3 4 3 6 3 2 5 3 2 2 4
## [33409] 6 6 4 3 6 1 4 5 6 4 3 3 4 2 6 4 2 3 4 6 6 6 1 5 3 3 6 6 6 4 2 2 4 4 6 2
## [33445] 4 2 2 3 6 2 5 6 3 4 3 6 3 3 3 2 3 2 6 4 4 4 4 3 3 4 2 6 3 1 3 3 3 3 6 3
## [33481] 4 3 1 3 3 3 4 1 2 2 4 3 3 2 3 4 5 6 5 3 3 2 6 4 1 6 3 4 1 3 3 3 1 3 6 1
## [33517] 6 3 3 2 2 6 2 6 2 2 6 6 6 6 5 6 3 3 3 6 3 2 4 5 4 2 3 2 3 4 1 6 3 3 2 6
## [33553] 1 6 6 3 2 6 4 2 3 4 2 6 6 6 4 6 6 2 3 6 1 4 6 3 4 6 6 2 4 3 3 2 5 3 3 3
## [33589] 4 1 4 2 4 3 3 6 2 1 6 6 2 6 2 3 3 6 2 3 2 3 3 4 3 1 2 3 3 2 2 4 4 1 6 3
## [33625] 3 4 4 3 5 6 4 4 3 3 4 2 3 6 6 4 6 3 4 3 4 6 6 6 6 2 4 1 3 3 3 5 1 1 5 4
## [33661] 3 2 2 2 2 6 4 6 3 2 6 3 6 2 2 3 4 3 4 2 2 1 3 6 2 4 1 4 3 6 1 5 2 3 2 3
## [33697] 4 6 3 2 6 2 6 3 2 4 2 6 6 3 3 2 3 3 3 2 6 3 3 5 5 6 1 4 3 3 3 3 4 1 6 3
## [33733] 5 5 6 3 3 4 6 6 3 4 2 4 6 2 4 3 3 3 6 6 2 4 2 4 5 2 3 3 2 3 6 6 2 4 4 3
## [33769] 4 5 3 3 2 4 4 4 4 4 1 4 5 5 2 2 1 6 3 2 3 2 3 2 4 3 6 3 2 2 5 3 2 4 4 3
## [33805] 3 4 3 2 1 4 3 2 2 6 3 6 3 6 3 5 6 1 6 1 2 2 4 1 6 4 5 6 3 4 3 2 1 6 3 3
## [33841] 6 4 4 3 6 6 2 2 6 1 1 6 6 3 5 6 3 6 3 2 2 3 1 3 1 6 4 2 3 4 4 6 3 3 3 3
## [33877] 4 4 6 1 2 3 3 4 3 1 3 4 6 6 1 4 4 3 4 1 4 1 1 6 6 6 3 1 5 5 3 3 3 3 3 3
## [33913] 2 4 3 1 4 6 3 2 2 3 6 3 2 4 6 2 4 3 4 3 6 4 6 2 6 1 2 2 3 4 3 2 6 3 2 4
## [33949] 4 3 1 4 1 3 6 3 6 3 4 4 1 3 4 2 5 6 3 4 6 6 6 6 2 2 3 3 4 3 3 4 4 3 1 5
## [33985] 3 3 6 4 4 6 6 5 4 2 4 5 3 3 4 4 2 3 2 2 3 6 1 6 3 6 3 3 6 5 3 1 6 3 1 3
## [34021] 6 2 6 4 3 4 6 1 3 2 6 3 3 3 3 3 1 2 3 3 3 3 4 3 2 4 3 4 6 6 1 6 3 4 2 4
## [34057] 3 5 3 3 3 4 3 3 3 4 2 6 3 3 2 5 2 3 3 5 3 4 3 6 6 6 4 4 6 2 4 3 3 1 4 3
## [34093] 4 2 6 4 3 3 3 6 2 4 3 3 3 1 2 3 3 1 1 3 5 6 3 6 1 3 6 6 1 3 6 6 6 2 3 3
## [34129] 3 2 5 2 3 3 3 4 3 2 3 4 6 4 4 1 3 6 2 6 3 1 2 2 4 3 4 4 6 1 5 6 3 4 4 6
## [34165] 4 6 4 4 3 3 2 4 2 3 2 6 1 6 4 3 4 4 3 3 2 3 2 4 3 3 1 2 6 3 6 2 4 1 6 2
## [34201] 5 6 3 4 3 4 4 2 1 4 6 4 3 2 5 1 3 4 4 2 3 4 3 5 6 3 3 4 3 5 1 3 1 3 6 2
## [34237] 6 4 6 2 6 4 3 2 3 6 2 2 6 3 4 3 1 4 3 6 1 4 2 2 6 6 6 1 6 1 4 2 2 4 6 1
## [34273] 4 3 4 4 3 6 3 3 3 4 1 2 6 2 5 1 5 4 3 3 4 1 3 1 3 6 4 1 2 2 5 2 3 6 3 2
## [34309] 4 1 3 3 1 3 3 4 2 3 1 3 6 4 6 3 3 1 6 3 1 1 1 2 3 6 6 3 3 4 4 5 4 3 2 2
## [34345] 6 3 4 3 3 4 1 3 4 4 2 2 6 2 2 6 1 5 4 6 4 3 6 2 1 3 3 1 2 3 6 3 2 1 6 2
## [34381] 6 4 2 2 3 6 6 3 4 6 2 1 6 4 6 1 4 2 6 1 1 6 2 6 1 2 6 3 1 4 3 6 3 4 1 2
## [34417] 3 2 3 4 2 3 6 6 6 3 3 4 3 3 2 3 3 1 6 1 1 4 2 1 2 3 4 2 3 3 1 3 6 3 2 4
## [34453] 6 3 4 3 2 2 3 3 3 6 4 6 1 2 6 6 4 3 4 6 2 1 2 4 6 6 3 2 6 4 4 3 3 2 2 3
## [34489] 4 4 3 3 2 6 3 3 4 6 1 4 3 6 2 1 4 4 2 3 4 4 4 3 2 3 4 3 3 6 6 3 3 1 2 6
## [34525] 1 3 2 1 1 3 3 1 3 4 2 3 2 6 3 2 2 6 1 4 2 4 4 3 4 2 3 2 2 6 3 6 6 2 3 3
## [34561] 6 3 6 3 3 4 2 3 4 1 4 1 3 2 3 2 1 3 4 6 3 3 4 4 6 4 6 6 3 4 4 6 3 2 6 4
## [34597] 2 3 3 3 3 2 3 3 4 2 4 4 4 5 1 6 3 3 3 3 3 1 3 3 4 4 1 2 2 6 2 4 3 3 4 4
## [34633] 1 3 6 3 4 6 1 4 3 1 4 5 3 6 5 3 4 3 6 2 3 3 4 3 3 3 4 5 2 6 3 3 5 4 3 2
## [34669] 2 3 1 3 3 2 3 2 4 6 3 3 4 6 6 6 4 4 6 3 3 6 3 3 4 2 4 6 1 6 1 4 3 3 4 4
## [34705] 6 1 5 1 6 3 6 2 4 2 2 5 2 1 4 3 4 3 4 6 5 4 2 3 3 3 3 3 6 2 2 3 1 6 6 1
## [34741] 6 3 3 3 6 3 2 1 2 6 3 3 2 4 2 2 2 3 3 2 4 4 2 6 3 2 3 4 4 2 2 2 2 5 4 2
## [34777] 3 6 6 4 2 1 4 2 3 3 3 3 6 6 3 4 2 4 4 1 2 2 1 2 2 1 4 1 2 5 6 3 3 4 6 3
## [34813] 4 6 4 3 4 1 1 3 4 6 4 2 1 1 4 4 2 3 3 3 4 6 6 2 6 3 3 3 3 3 4 3 2 3 4 6
## [34849] 4 2 1 1 1 1 4 4 3 4 1 6 3 3 4 4 1 3 5 6 3 6 3 3 2 2 6 6 2 4 2 2 1 6 3 3
## [34885] 3 3 3 5 1 3 6 2 6 6 4 2 3 4 4 6 3 4 2 4 4 2 4 3 3 3 6 4 3 2 2 2 4 6 6 2
## [34921] 3 6 4 2 6 6 4 3 3 3 2 3 3 2 3 3 4 2 2 4 3 6 3 4 3 3 3 6 2 2 2 3 5 3 2 6
## [34957] 4 3 6 3 6 5 4 2 6 5 4 3 3 3 4 4 3 3 1 3 4 3 5 2 3 4 6 3 6 4 4 3 6 2 6 4
## [34993] 6 4 6 4 6 4 6 3 4 4 4 4 3 3 6 6 2 2 6 3 5 6 1 4 6 2 4 3 6 4 4 3 3 3 3 2
## [35029] 3 3 6 4 2 6 3 3 3 6 4 6 3 3 4 1 2 2 1 6 2 2 6 2 6 4 6 6 3 6 3 4 6 1 3 4
## [35065] 3 2 1 4 6 5 2 6 3 4 3 3 4 5 5 4 3 5 1 6 2 3 2 4 2 3 3 6 3 6 2 3 3 4 1 6
## [35101] 4 3 3 2 2 2 3 3 4 3 2 3 3 5 3 4 4 2 1 3 3 3 3 3 6 3 4 3 3 6 1 6 3 1 6 4
## [35137] 1 1 3 1 4 6 1 6 5 3 2 3 3 3 3 6 6 6 5 2 3 2 6 3 4 4 6 5 3 3 3 3 1 4 4 3
## [35173] 6 4 3 2 2 3 3 5 3 2 2 6 2 4 3 4 4 4 3 4 4 2 1 4 2 1 2 6 6 3 3 1 6 3 4 1
## [35209] 4 4 6 2 6 3 2 2 3 3 3 6 3 3 3 3 3 4 3 4 2 3 6 6 5 3 3 3 4 3 3 2 3 4 2 1
## [35245] 2 2 4 1 3 1 6 3 4 4 2 2 3 5 4 6 3 4 6 6 3 4 1 4 1 3 6 6 4 4 4 6 1 3 3 3
## [35281] 2 6 3 3 3 2 6 3 4 4 2 4 3 6 3 3 4 3 4 6 6 3 4 4 2 4 4 4 6 5 3 3 3 4 3 6
## [35317] 4 6 3 4 1 3 4 3 3 2 4 6 6 6 3 6 6 3 6 6 3 5 3 6 6 2 4 3 2 2 4 4 3 5 2 1
## [35353] 2 6 1 2 2 4 3 1 1 4 6 3 4 1 6 5 3 4 2 2 6 6 3 2 3 2 3 3 3 6 2 3 4 3 3 3
## [35389] 2 3 3 5 3 4 2 4 5 6 1 4 2 2 3 6 6 1 3 5 3 4 4 1 1 6 1 1 6 6 1 2 3 1 3 4
## [35425] 6 3 6 6 3 6 3 2 4 4 3 2 2 3 3 3 3 3 4 4 2 3 3 3 2 6 4 3 3 3 3 2 6 3 4 3
## [35461] 2 4 6 2 3 6 4 4 3 2 3 6 3 2 4 4 4 3 3 4 1 6 3 4 1 6 1 3 3 2 2 1 2 3 6 2
## [35497] 3 1 6 4 6 4 6 5 3 6 3 6 3 3 2 4 4 6 6 3 4 3 3 4 4 6 3 4 6 3 6 6 1 3 3 6
## [35533] 3 4 3 3 3 2 3 4 3 4 3 1 3 4 3 6 4 6 3 4 1 1 3 6 5 3 6 6 3 3 3 6 3 2 4 2
## [35569] 6 6 6 4 3 5 4 3 4 3 3 2 5 3 2 6 2 2 3 6 1 2 4 4 2 2 4 6 3 2 3 2 3 4 4 3
## [35605] 2 3 2 3 3 3 4 1 2 2 4 4 6 6 3 4 3 1 3 3 2 3 1 6 4 2 4 2 3 2 2 3 3 2 1 4
## [35641] 3 3 3 4 2 6 6 3 3 6 2 2 5 3 4 6 1 6 6 2 6 3 5 3 3 6 3 6 1 4 1 3 3 4 3 3
## [35677] 6 2 6 6 3 4 3 6 6 1 1 3 3 1 1 1 3 4 6 3 3 4 3 6 4 3 2 2 2 3 3 3 3 6 6 4
## [35713] 6 3 1 2 3 3 4 3 3 4 1 2 3 3 3 4 4 4 3 1 3 2 3 2 1 3 4 6 3 3 5 3 4 4 3 2
## [35749] 4 3 3 6 3 2 1 5 2 2 4 6 4 2 4 3 3 4 6 1 3 3 3 4 1 6 3 2 3 6 6 3 2 6 4 2
## [35785] 4 1 3 3 5 6 5 4 5 1 2 6 3 2 6 5 3 4 2 3 4 4 2 4 3 6 6 3 2 3 3 2 6 6 5 3
## [35821] 2 2 6 1 2 4 4 1 3 3 3 4 1 1 6 3 1 2 4 3 2 5 3 2 4 5 5 3 2 6 3 4 2 2 6 4
## [35857] 6 3 4 3 5 2 3 6 4 3 3 2 5 3 4 2 2 3 3 3 2 4 6 3 4 5 1 5 1 5 4 6 3 3 1 2
## [35893] 2 4 4 4 6 3 5 6 6 1 6 6 2 1 6 4 6 6 3 2 2 3 2 3 6 3 3 2 4 2 5 2 3 3 2 2
## [35929] 4 2 3 6 3 3 2 4 1 6 3 6 4 5 4 3 4 3 3 3 3 2 3 5 2 5 5 1 3 4 6 6 6 2 6 2
## [35965] 1 4 3 3 6 3 4 3 3 6 6 3 4 6 3 5 1 6 6 3 6 3 2 3 3 3 3 2 2 6 3 6 1 1 2 3
## [36001] 2 3 3 6 3 6 4 5 3 3 4 3 3 2 2 3 2 4 3 6 1 1 2 4 2 4 4 4 6 6 3 2 4 4 6 1
## [36037] 4 3 5 2 2 6 3 1 2 3 6 2 6 6 3 6 6 5 1 2 2 1 1 5 6 3 3 4 1 4 1 4 1 6 3 3
## [36073] 3 3 1 1 4 2 6 6 3 3 3 4 3 1 2 2 4 3 1 2 3 5 3 2 4 6 3 1 5 1 6 3 3 3 4 4
## [36109] 4 4 3 3 3 4 5 3 3 2 2 4 2 3 6 6 1 6 3 6 6 6 2 3 3 3 3 6 1 2 1 2 6 3 6 3
## [36145] 2 3 3 2 3 6 2 2 4 6 5 4 1 2 2 1 6 4 1 3 4 6 1 1 1 2 3 1 3 3 3 2 1 3 4 4
## [36181] 4 4 3 4 3 6 3 3 5 3 3 3 2 6 3 6 1 4 6 2 4 4 3 3 5 3 4 3 2 5 6 4 6 6 5 3
## [36217] 3 3 1 1 1 3 4 1 2 4 6 3 3 1 3 2 1 3 6 3 1 3 3 3 6 4 1 1 1 4 1 4 3 2 2 2
## [36253] 3 4 4 3 2 3 3 3 3 6 6 2 6 1 3 1 3 6 2 3 6 3 3 2 3 4 3 3 2 3 4 3 6 3 4 6
## [36289] 6 3 6 3 4 2 2 3 2 3 3 1 4 3 3 3 6 6 3 6 4 6 3 6 3 3 1 6 6 5 6 2 2 6 3 3
## [36325] 3 3 6 3 3 2 1 3 4 3 4 6 4 3 3 6 5 6 6 1 3 1 3 4 2 1 4 2 1 1 3 6 6 6 6 2
## [36361] 1 2 3 4 2 4 3 3 2 3 2 1 3 6 4 2 6 5 4 1 4 4 6 3 5 3 1 4 1 4 6 3 1 4 3 4
## [36397] 3 6 4 2 3 6 3 6 4 2 4 3 2 4 5 3 4 2 3 3 2 3 6 3 3 2 6 4 4 6 3 3 6 1 2 3
## [36433] 1 2 6 3 2 3 4 5 3 6 4 4 4 1 2 5 3 2 2 3 2 4 4 2 6 4 2 3 3 1 6 6 2 2 4 1
## [36469] 2 3 4 6 6 6 5 3 3 3 6 5 6 6 6 2 6 2 3 4 3 3 2 4 3 3 3 6 3 5 3 2 3 6 2 2
## [36505] 4 6 3 3 3 3 4 1 3 6 2 1 3 1 4 2 2 4 2 4 3 5 3 6 3 2 3 1 3 3 3 3 4 2 2 3
## [36541] 1 1 6 1 1 3 2 1 6 4 4 5 6 3 1 4 5 1 6 3 3 4 3 3 3 2 3 3 2 5 3 2 4 3 6 6
## [36577] 3 4 3 4 4 3 3 1 3 3 6 6 5 6 2 6 6 4 3 1 3 3 5 3 2 3 3 3 3 4 1 2 2 2 6 1
## [36613] 6 1 3 6 2 3 4 3 4 3 2 6 2 1 3 4 5 6 3 4 4 6 3 4 2 2 3 2 3 3 2 2 2 6 4 3
## [36649] 3 1 4 6 1 2 1 3 3 6 2 3 2 3 5 5 2 3 2 4 1 6 4 2 6 2 4 3 2 3 3 6 2 1 6 3
## [36685] 1 4 6 3 3 6 3 5 2 6 6 4 3 6 1 4 2 1 3 6 2 1 3 1 6 4 2 3 3 1 3 1 2 3 2 2
## [36721] 1 2 3 3 3 4 4 1 2 1 4 5 4 6 6 4 3 2 2 4 6 3 2 3 5 1 3 2 4 4 6 3 6 5 3 2
## [36757] 6 3 5 4 4 4 5 2 4 6 5 3 5 2 3 3 1 1 6 2 2 3 4 5 1 1 4 5 4 3 3 5 2 4 6 3
## [36793] 2 2 3 2 3 1 3 4 1 1 6 1 6 2 3 2 3 3 1 3 6 3 3 1 2 6 3 6 3 6 2 3 4 2 6 5
## [36829] 4 2 3 3 3 4 3 5 4 3 4 1 2 3 5 4 3 4 4 2 4 2 4 5 6 3 4 5 3 4 3 3 3 3 6 1
## [36865] 3 6 1 3 3 4 4 5 3 6 1 3 2 3 6 6 5 6 4 3 1 3 3 1 3 1 6 4 5 2 1 1 6 5 4 4
## [36901] 6 3 2 3 3 1 6 3 4 6 3 4 5 4 4 3 6 4 3 3 2 4 3 3 2 3 6 3 6 3 6 4 3 3 6 3
## [36937] 2 4 4 1 4 4 3 6 3 3 4 2 6 6 4 5 3 4 3 2 5 3 3 3 3 1 6 3 6 2 5 6 6 3 4 6
## [36973] 2 4 2 3 3 3 2 4 3 3 6 2 4 4 3 3 4 1 6 1 5 4 3 6 1 6 3 2 6 2 6 3 4 6 3 4
## [37009] 6 6 4 6 4 3 3 2 6 3 6 3 6 4 2 3 1 3 5 1 1 4 2 4 4 3 2 3 3 4 5 6 4 5 4 2
## [37045] 6 4 2 6 6 1 3 2 2 4 6 3 6 4 4 2 3 6 3 6 6 3 4 2 4 3 3 3 2 3 3 1 6 4 5 3
## [37081] 4 5 2 2 3 2 6 2 4 2 6 2 3 4 4 6 3 6 6 1 6 3 2 5 2 1 3 1 3 2 6 3 3 4 2 1
## [37117] 6 4 6 6 2 3 6 2 6 2 2 6 3 1 2 6 3 4 6 3 4 2 2 6 1 4 3 6 4 3 6 4 3 2 2 6
## [37153] 5 4 4 1 4 1 4 4 4 2 6 2 3 6 4 3 2 1 3 2 3 6 4 3 3 3 5 3 3 2 6 3 5 6 3 6
## [37189] 6 3 1 5 5 6 5 6 3 5 3 3 2 2 3 4 6 4 6 1 3 3 5 3 6 3 6 6 4 3 2 6 2 2 6 6
## [37225] 4 2 2 6 4 3 1 3 5 3 4 1 4 4 5 3 4 2 2 4 6 2 1 3 2 3 3 3 3 3 6 1 2 4 2 4
## [37261] 2 3 2 4 3 3 3 2 2 4 6 3 1 3 3 3 4 4 1 1 3 1 4 2 4 2 6 3 2 3 4 4 1 3 2 4
## [37297] 3 1 6 3 3 1 4 2 6 3 2 6 2 6 3 3 4 6 2 4 3 3 2 6 2 2 2 2 5 4 3 4 3 6 3 2
## [37333] 4 1 2 3 6 3 1 3 6 4 1 5 4 3 3 4 6 3 4 3 1 2 4 6 2 3 3 3 5 6 3 3 3 6 3 3
## [37369] 6 6 6 4 4 2 1 5 4 3 4 3 4 6 2 1 3 3 2 4 3 3 2 3 1 3 2 3 1 3 3 4 2 2 4 5
## [37405] 3 2 6 4 4 2 3 4 6 6 1 1 4 4 1 1 4 1 3 3 5 3 4 3 2 4 4 3 3 3 6 2 4 4 2 4
## [37441] 3 3 3 4 6 3 3 4 2 3 3 6 3 6 5 2 3 4 3 3 3 3 6 2 3 4 3 3 3 2 1 2 4 1 2 2
## [37477] 3 1 2 2 6 4 3 3 1 4 2 4 2 2 3 3 3 6 1 3 2 2 4 6 3 2 3 3 5 6 6 3 6 3 6 3
## [37513] 1 1 5 5 4 3 4 2 3 6 4 4 6 3 2 6 4 1 5 1 1 3 6 3 2 3 2 2 2 3 1 3 4 3 4 3
## [37549] 3 4 4 3 3 2 3 3 1 2 3 3 1 2 4 6 3 3 6 6 6 6 2 5 3 4 6 2 3 3 4 6 6 2 6 4
## [37585] 3 4 1 4 6 2 6 5 3 3 4 3 3 2 2 1 1 1 2 4 3 4 4 4 6 5 2 3 3 5 2 2 3 2 3 3
## [37621] 6 6 3 2 2 4 3 3 4 3 3 3 1 1 4 4 6 2 2 3 2 3 6 3 3 1 3 1 5 3 6 4 2 3 3 6
## [37657] 3 1 1 3 4 3 3 3 2 4 2 3 6 3 4 6 3 1 3 3 3 1 2 2 6 3 3 1 4 6 2 6 4 6 1 4
## [37693] 1 6 6 5 4 2 4 3 2 4 2 3 4 4 6 6 2 4 3 3 3 2 2 3 2 2 2 3 1 3 4 2 2 1 2 2
## [37729] 3 3 3 6 6 4 3 6 5 6 3 2 2 3 4 6 6 3 5 2 2 3 2 4 5 4 6 3 4 4 3 6 2 4 4 6
## [37765] 4 3 2 3 2 4 3 1 6 4 3 3 3 4 1 3 3 1 2 1 6 3 1 6 4 6 3 4 3 4 3 3 3 3 4 2
## [37801] 4 3 2 6 3 4 4 2 2 6 3 3 2 4 6 3 2 6 6 3 4 6 3 4 4 1 3 4 6 5 1 3 1 3 4 1
## [37837] 3 4 2 6 3 2 3 6 4 2 3 5 4 3 3 3 2 3 1 3 6 3 2 1 4 3 6 4 3 2 3 5 3 2 3 4
## [37873] 3 1 2 3 2 4 4 6 3 6 2 2 6 3 5 6 6 3 1 2 4 6 5 4 6 2 3 4 3 4 3 3 4 6 5 3
## [37909] 4 3 3 4 3 4 6 1 3 3 3 3 4 4 2 4 3 2 3 2 6 3 4 2 3 1 6 3 3 6 4 2 2 3 1 4
## [37945] 6 1 3 3 4 4 4 5 6 2 3 4 3 5 3 3 3 2 2 2 2 6 3 4 2 3 3 2 6 6 6 3 3 1 4 1
## [37981] 6 4 2 3 3 4 3 2 2 2 3 3 6 6 4 2 3 5 5 6 4 3 6 3 3 4 1 3 3 4 4 5 3 3 4 4
## [38017] 6 2 3 4 3 3 6 6 6 3 1 3 2 4 3 3 3 4 3 6 6 2 3 2 4 2 4 3 4 3 6 4 3 3 2 4
## [38053] 4 3 2 3 3 3 4 2 6 6 3 3 3 4 2 2 6 4 6 1 3 3 5 4 3 6 6 1 6 3 1 6 4 2 3 6
## [38089] 3 5 2 6 3 2 2 4 5 3 2 4 2 3 6 3 6 3 4 3 2 3 3 4 2 6 2 2 4 3 2 4 4 2 6 3
## [38125] 3 2 5 3 3 2 3 4 2 6 6 1 2 2 3 4 3 2 6 4 3 6 2 5 2 5 6 4 3 6 2 1 6 4 4 3
## [38161] 6 3 4 4 6 6 6 4 1 6 6 3 6 3 6 4 3 3 2 2 5 3 1 4 3 4 1 1 4 1 3 2 6 1 4 2
## [38197] 3 3 3 3 5 6 6 4 3 3 6 3 1 2 6 4 3 6 3 3 6 1 2 3 6 6 6 3 3 3 1 6 5 4 1 1
## [38233] 3 2 4 4 3 3 4 3 3 3 3 3 1 3 1 2 2 3 1 3 3 2 4 2 4 1 4 3 6 1 3 4 2 3 6 2
## [38269] 3 3 4 2 1 4 6 6 4 3 6 6 2 4 5 6 1 4 6 2 6 2 1 3 6 1 3 6 3 3 2 6 3 2 5 6
## [38305] 4 6 6 3 3 2 3 3 3 3 4 3 2 4 4 6 4 4 3 2 2 3 6 6 1 3 3 4 3 4 1 3 6 4 6 4
## [38341] 3 2 6 3 6 1 6 3 4 3 4 3 1 3 2 6 2 3 4 5 1 5 5 3 3 2 2 3 3 3 3 3 6 4 3 2
## [38377] 3 1 1 6 4 4 1 2 6 1 6 3 5 6 1 3 3 1 6 3 3 3 3 2 2 4 2 3 2 3 3 4 4 6 2 4
## [38413] 3 4 3 3 2 3 6 6 4 1 6 6 3 5 6 6 3 3 5 1 5 4 3 1 1 4 2 4 5 1 3 5 4 5 3 6
## [38449] 1 1 4 1 5 6 3 3 1 3 3 6 3 5 5 2 3 4 2 4 6 4 4 6 2 3 3 3 1 6 2 1 3 3 1 6
## [38485] 3 3 2 2 3 3 6 6 4 5 1 1 4 1 6 4 4 2 2 5 2 3 3 6 4 6 3 2 2 6 3 6 2 3 3 3
## [38521] 3 5 1 1 3 6 3 4 3 6 2 5 3 3 3 2 3 3 3 3 2 3 1 2 4 4 4 6 4 5 6 3 4 2 2 1
## [38557] 1 1 6 4 3 2 6 4 6 4 6 4 2 6 6 4 3 3 5 2 2 3 1 4 3 3 2 6 6 4 3 3 2 3 3 3
## [38593] 3 4 4 6 6 2 6 6 4 6 5 6 4 4 6 1 3 4 2 6 1 2 3 3 4 6 3 4 4 3 3 3 3 4 1 2
## [38629] 1 3 6 4 3 6 1 4 3 4 4 3 6 6 3 1 2 1 3 6 1 3 4 3 4 4 4 1 6 4 3 4 4 3 3 4
## [38665] 3 4 4 6 2 3 4 1 6 2 6 6 3 2 2 6 2 4 4 3 3 2 4 3 2 3 4 3 6 4 4 3 6 3 3 2
## [38701] 1 2 1 4 3 6 5 2 2 2 3 3 4 4 2 3 6 4 1 2 3 6 4 4 3 6 5 6 5 3 3 2 3 3 2 3
## [38737] 4 5 6 6 3 4 3 6 1 1 4 1 6 6 6 6 4 3 3 3 4 2 1 6 3 6 4 6 5 3 3 6 1 6 3 5
## [38773] 4 6 6 1 4 4 3 6 6 3 5 4 2 4 3 3 3 4 5 3 3 6 5 6 4 3 3 4 3 6 6 3 2 3 2 5
## [38809] 6 3 1 3 6 3 4 3 3 6 3 6 6 1 1 3 1 6 3 3 4 3 6 3 3 5 2 3 2 3 3 3 5 2 3 2
## [38845] 6 3 3 3 3 3 3 2 4 5 4 6 3 3 6 4 6 1 2 3 3 2 4 3 3 5 1 4 2 1 6 2 3 2 4 6
## [38881] 6 6 6 3 5 1 1 4 2 3 2 4 3 2 3 3 1 3 2 2 3 1 6 1 3 3 3 1 2 5 3 6 3 1 6 2
## [38917] 3 5 6 3 3 1 6 3 3 6 3 3 4 3 3 3 2 4 6 3 6 6 4 4 6 4 6 4 6 2 5 2 4 1 3 2
## [38953] 4 2 4 6 6 2 3 2 3 3 2 3 1 2 3 3 6 3 4 2 6 3 5 3 6 6 2 3 3 4 2 2 2 3 2 1
## [38989] 3 4 3 3 3 3 3 1 3 3 1 6 3 5 4 3 2 1 1 4 4 4 4 6 3 5 2 5 4 5 6 6 6 4 3 6
## [39025] 1 5 1 6 6 4 6 6 3 3 5 3 3 3 4 2 3 1 4 1 1 3 4 3 6 3 6 2 4 2 3 3 6 6 6 6
## [39061] 6 6 5 1 6 3 4 6 2 2 3 3 6 6 6 3 4 4 2 4 2 2 4 4 3 1 2 3 3 4 6 3 4 4 4 3
## [39097] 2 5 6 4 1 3 1 3 3 3 3 2 2 2 4 2 5 2 3 3 1 3 3 6 6 4 4 3 6 3 5 6 1 2 3 3
## [39133] 4 3 2 3 3 6 5 3 4 2 4 1 3 3 3 4 3 6 3 3 3 6 4 5 1 1 3 1 2 6 4 5 4 6 6 3
## [39169] 4 6 3 6 3 4 1 3 6 3 6 6 4 1 4 1 4 3 1 4 3 3 5 3 2 2 4 2 3 3 6 6 4 2 6 6
## [39205] 2 2 4 1 6 6 4 1 6 3 3 2 4 2 6 4 3 1 3 3 3 2 4 6 4 1 3 3 6 6 4 6 1 6 2 2
## [39241] 3 4 3 5 2 3 6 4 2 3 4 3 3 4 6 6 4 3 3 5 1 4 4 6 1 2 5 1 2 1 2 3 1 2 4 2
## [39277] 3 3 3 3 3 2 3 6 5 3 4 3 5 6 3 3 2 2 1 3 3 6 6 2 3 3 6 6 3 6 5 1 4 3 6 2
## [39313] 2 3 3 4 4 4 3 3 6 2 2 1 3 4 3 4 2 6 1 3 4 2 3 1 3 5 6 3 6 6 6 3 6 2 4 1
## [39349] 3 4 4 3 1 3 6 3 3 4 2 4 6 3 4 6 3 2 1 4 3 3 5 4 3 5 1 3 6 4 6 6 3 3 6 3
## [39385] 3 6 6 1 6 4 3 6 4 3 4 2 1 5 5 3 4 6 5 3 3 5 6 3 1 2 1 2 1 2 4 4 6 1 5 1
## [39421] 4 4 6 2 3 3 6 3 5 3 3 6 1 4 4 6 4 3 3 3 4 3 6 2 2 3 2 3 3 2 6 3 1 6 4 3
## [39457] 3 4 6 3 1 2 1 3 6 1 3 4 3 6 6 5 3 2 1 3 6 6 3 4 2 4 1 3 4 3 3 3 2 5 3 3
## [39493] 3 4 3 3 6 4 3 2 3 1 2 3 3 4 1 3 3 5 5 3 4 6 3 6 4 6 3 4 6 4 3 6 1 6 3 3
## [39529] 1 3 4 6 3 3 1 6 1 3 4 6 6 4 6 3 3 3 4 3 4 1 6 6 6 3 6 4 4 5 3 4 2 2 2 3
## [39565] 2 3 3 4 3 6 2 4 1 4 3 6 6 3 6 1 3 4 3 5 3 2 2 6 3 2 3 1 3 1 2 1 3 3 2 4
## [39601] 4 1 3 4 5 6 4 1 2 3 3 2 5 2 1 3 2 3 6 1 6 3 4 3 4 2 4 3 6 6 6 4 3 2 3 4
## [39637] 5 3 4 6 1 3 1 6 1 4 5 2 3 1 6 6 4 6 2 6 2 6 4 5 4 4 6 4 3 2 5 4 3 6 4 6
## [39673] 2 3 6 1 1 5 3 6 2 6 3 1 6 2 6 3 6 2 4 3 2 2 3 6 3 6 4 3 4 1 1 5 6 6 4 1
## [39709] 1 3 1 6 3 3 3 3 2 1 6 2 2 5 2 4 4 3 4 4 3 3 6 1 3 3 4 3 4 4 4 6 4 6 2 2
## [39745] 3 3 1 6 3 4 4 4 4 6 4 4 4 3 2 3 3 6 4 3 3 3 2 2 1 4 3 2 3 3 1 1 3 6 1 5
## [39781] 1 4 4 3 3 3 6 3 3 1 4 2 4 6 3 3 4 3 6 6 2 1 4 3 4 2 6 3 6 4 3 6 6 4 3 5
## [39817] 3 4 4 3 3 1 3 3 4 6 3 1 1 1 4 6 1 4 6 6 3 6 4 3 1 2 2 3 2 2 6 3 1 4 3 4
## [39853] 3 6 6 2 6 3 4 6 2 3 2 1 3 3 2 6 2 1 3 2 3 3 2 6 2 4 6 6 4 2 2 5 6 6 3 3
## [39889] 3 6 5 2 4 1 4 4 4 6 1 2 3 3 3 4 1 3 3 5 3 3 3 4 4 2 5 2 6 3 3 4 2 6 4 6
## [39925] 3 5 3 2 1 3 5 3 3 2 3 4 2 3 1 5 2 3 3 4 5 4 2 6 3 2 4 4 3 6 6 6 6 4 1 6
## [39961] 6 3 6 3 2 6 5 3 3 4 3 4 6 6 1 3 2 3 6 4 4 4 3 6 3 2 2 4 2 4 6 3 6 4 3 3
## [39997] 1 6 2 3 3 3 3 4 6 2 1 4 6 3 2 6 2 3 3 2 3 5 6 4 3 3 4 5 1 6 2 2 5 6 2 4
## [40033] 4 3 2 3 1 6 4 1 3 3 4 2 3 1 6 1 4 6 4 6 4 5 2 2 4 2 4 6 3 3 4 4 6 3 3 2
## [40069] 6 6 4 2 1 3 3 6 3 6 6 2 4 4 6 4 3 3 4 6 3 3 4 3 6 1 3 2 6 6 1 3 1 4 4 1
## [40105] 4 6 1 2 2 2 3 6 3 3 3 4 3 4 6 5 4 6 2 1 1 4 4 2 5 1 2 6 6 3 3 6 3 4 3 3
## [40141] 2 3 4 2 3 5 4 3 5 6 1 3 3 2 3 2 3 1 3 6 2 3 4 3 6 3 3 4 2 6 4 1 4 5 3 6
## [40177] 3 3 4 1 1 3 4 3 6 6 4 3 3 6 2 3 3 6 2 4 6 5 4 3 2 1 6 3 2 4 3 2 6 4 2 3
## [40213] 3 1 4 2 3 6 6 3 3 4 3 4 6 3 6 3 3 3 6 3 3 6 3 5 6 4 3 4 2 3 3 2 3 1 6 3
## [40249] 3 6 5 3 4 4 5 3 6 5 3 2 4 2 2 3 1 5 2 3 3 6 1 5 4 3 2 3 2 6 5 2 3 4 3 3
## [40285] 3 3 1 1 1 4 1 2 4 3 4 3 2 2 1 4 2 4 4 2 6 6 4 2 4 6 5 3 4 1 6 2 1 3 3 3
## [40321] 4 6 4 4 3 2 4 2 4 6 2 4 3 2 4 6 2 2 3 2 2 3 3 6 3 4 6 3 2 6 2 6 4 6 2 6
## [40357] 4 6 2 6 6 6 1 3 2 1 3 3 1 6 3 4 4 4 1 2 4 1 2 3 6 1 2 4 2 2 6 6 3 4 3 3
## [40393] 3 4 6 2 3 1 2 3 3 3 2 4 3 4 2 3 4 4 2 3 2 6 3 4 6 6 3 3 4 4 3 4 3 4 3 4
## [40429] 3 3 6 6 3 2 2 2 6 6 2 3 6 4 2 6 6 1 3 4 6 5 2 3 4 4 4 6 4 6 2 3 2 2 5 3
## [40465] 4 6 3 6 1 4 2 3 1 3 3 3 6 3 3 1 4 6 6 6 4 2 4 5 3 3 3 3 3 6 3 3 4 3 2 3
## [40501] 3 6 3 1 3 6 4 4 3 6 3 4 3 1 5 3 3 6 5 6 5 6 2 4 4 5 2 6 6 2 3 5 3 1 1 2
## [40537] 3 6 2 3 3 3 3 1 3 1 6 4 3 5 6 2 3 5 5 6 3 2 4 4 6 4 1 3 4 3 4 2 2 4 3 6
## [40573] 4 3 2 3 1 3 3 6 4 3 3 3 2 3 3 3 1 5 2 3 6 4 2 4 4 5 6 3 2 3 5 6 3 3 1 3
## [40609] 2 4 6 6 4 3 5 3 2 2 6 4 6 4 6 1 3 1 1 5 3 3 6 4 3 5 6 4 3 1 1 5 6 6 3 6
## [40645] 3 5 3 5 4 4 5 5 1 3 1 2 3 6 6 2 3 4 6 3 4 4 6 3 3 6 3 2 4 2 2 1 6 3 3 3
## [40681] 1 3 4 2 2 2 3 6 3 2 4 3 3 4 4 6 3 4 4 3 6 3 3 4 3 2 2 4 2 4 4 3 1 6 3 3
## [40717] 1 3 3 3 1 1 5 1 2 4 4 4 1 3 3 5 6 4 4 1 1 4 6 3 3 3 2 6 1 4 4 3 3 5 3 2
## [40753] 2 3 2 2 6 2 6 6 6 3 2 4 6 6 2 2 4 6 6 1 5 1 4 1 6 6 2 1 6 6 3 1 3 3 5 3
## [40789] 3 3 6 4 3 6 3 3 3 2 6 3 2 4 4 4 6 3 4 4 3 3 6 4 6 3 3 6 2 4 2 6 3 3 3 4
## [40825] 4 3 1 1 3 4 2 4 5 5 4 4 3 6 2 4 6 6 4 4 6 6 3 3 3 2 3 6 1 2 2 4 2 2 4 2
## [40861] 6 6 6 2 3 2 2 3 6 6 3 4 2 6 2 3 2 3 4 4 3 2 4 6 3 4 6 3 4 1 6 3 6 6 2 3
## [40897] 2 3 2 6 4 6 4 3 6 3 5 3 4 3 2 2 6 6 3 2 3 2 6 3 1 4 6 2 3 3 4 2 4 4 1 4
## [40933] 3 6 2 3 6 3 3 4 6 3 6 1 6 4 3 1 4 3 3 6 4 3 4 6 1 6 6 4 3 1 3 1 3 6 4 4
## [40969] 4 1 2 4 5 3 6 6 3 4 3 2 2 1 5 2 3 1 4 3 6 3 2 4 5 6 3 6 4 6 4 5 6 1 3 2
## [41005] 6 4 3 3 6 3 3 4 2 6 2 1 4 6 3 6 5 6 3 5 1 4 3 3 2 3 6 6 1 6 2 3 1 2 4 3
## [41041] 2 3 6 3 4 2 4 1 3 3 6 6 3 3 2 2 2 6 5 6 6 3 1 2 3 1 6 4 4 6 6 4 1 1 2 1
## [41077] 4 3 3 5 5 3 3 3 6 4 2 2 2 3 4 5 2 3 3 5 3 4 1 6 3 3 3 4 6 4 4 6 4 6 6 2
## [41113] 4 6 2 5 5 3 3 6 3 6 4 6 4 2 3 4 4 3 3 2 1 3 2 3 2 4 4 1 6 6 2 3 2 3 6 3
## [41149] 4 5 3 4 3 2 2 4 4 1 1 4 4 4 6 4 2 4 2 5 5 6 3 4 3 2 5 3 4 6 3 1 2 1 3 2
## [41185] 6 3 1 6 5 3 3 3 5 4 6 6 2 4 6 3 2 2 1 2 2 3 4 4 6 6 4 6 4 4 4 3 6 5 2 3
## [41221] 3 6 3 3 3 2 1 4 2 6 3 3 6 6 6 4 3 6 6 1 2 6 2 5 4 1 3 4 4 6 6 3 1 4 4 1
## [41257] 1 3 6 6 4 3 4 6 4 3 3 1 3 4 5 5 6 3 4 4 6 4 3 3 2 3 6 6 4 3 2 4 3 2 1 4
## [41293] 6 4 4 2 5 4 1 5 4 4 3 6 3 3 1 2 5 6 2 5 6 6 6 3 2 3 3 3 4 3 6 4 1 4 2 5
## [41329] 3 1 1 1 6 6 3 4 1 1 3 3 3 4 3 3 3 6 3 4 6 1 2 4 6 6 4 2 3 3 3 3 3 4 3 4
## [41365] 4 6 6 4 3 2 6 5 6 4 2 3 3 5 3 6 4 3 4 3 4 3 3 3 3 4 3 3 3 2 3 3 2 2 3 6
## [41401] 6 3 6 6 4 3 5 3 2 3 2 6 6 6 6 3 6 1 4 3 2 2 3 6 3 6 6 5 2 6 2 6 4 1 5 3
## [41437] 4 2 3 4 3 4 4 1 1 3 3 6 3 3 3 3 3 1 6 2 4 3 5 2 4 6 6 3 3 3 1 4 1 2 4 6
## [41473] 4 6 2 2 4 2 6 5 4 6 6 3 6 2 6 6 3 1 3 1 3 1 5 4 3 2 4 4 5 4 6 4 2 1 2 2
## [41509] 4 2 4 5 3 3 4 4 3 4 6 3 4 6 5 3 4 6 3 4 2 5 3 3 3 3 3 2 6 6 3 4 3 3 2 5
## [41545] 5 4 3 3 3 2 3 6 3 6 2 1 4 3 4 2 3 6 2 1 6 4 3 6 2 4 6 4 3 1 4 4 1 1 3 3
## [41581] 3 3 3 3 2 4 2 3 4 3 6 4 5 1 4 6 6 6 4 4 5 3 4 1 6 6 2 2 3 3 4 3 5 2 6 6
## [41617] 3 1 3 3 3 3 2 6 3 3 6 3 2 6 2 6 2 3 2 4 3 6 3 4 2 6 2 6 5 2 6 3 3 3 1 2
## [41653] 3 4 3 3 1 2 4 1 3 1 3 6 3 1 6 6 4 4 3 4 3 2 2 4 3 1 3 2 4 1 3 3 2 3 3 1
## [41689] 3 2 5 1 6 3 2 3 3 5 1 4 6 4 4 4 4 3 6 6 3 5 3 2 3 6 6 3 5 1 2 6 3 4 3 6
## [41725] 6 3 3 3 1 1 1 4 6 3 2 4 3 3 6 3 3 5 6 1 6 3 6 2 6 5 1 3 2 3 2 3 6 3 2 2
## [41761] 3 2 3 5 3 6 3 3 1 4 2 5 3 2 4 3 1 4 1 3 3 3 3 6 4 3 6 6 1 1 3 3 2 4 4 3
## [41797] 6 3 2 3 4 6 6 4 2 1 3 4 3 3 2 4 4 6 1 5 3 3 6 2 3 3 3 6 4 2 3 2 4 2 3 6
## [41833] 4 3 1 6 3 6 2 6 6 3 6 4 1 2 4 2 1 6 6 6 4 4 4 3 3 3 6 4 4 4 3 6 5 6 3 3
## [41869] 1 6 6 1 2 3 3 3 4 3 6 4 6 3 3 3 2 6 4 3 4 3 3 6 3 1 3 6 2 3 6 6 2 4 3 3
## [41905] 2 2 3 4 1 6 2 6 1 1 4 3 6 1 6 1 4 3 3 4 4 6 3 3 3 4 3 6 4 1 1 4 6 6 4 2
## [41941] 4 2 2 3 3 5 3 6 3 3 4 3 6 3 3 3 6 3 4 2 3 3 5 6 4 6 6 2 3 4 4 3 3 4 3 3
## [41977] 3 1 2 6 3 1 3 3 3 5 3 6 3 3 1 2 3 3 6 6 1 1 4 3 2 3 3 2 6 3 3 3 1 3 3 2
## [42013] 4 3 5 6 6 6 3 3 2 3 2 3 6 3 2 2 1 6 3 6 3 3 6 3 4 6 2 2 3 6 3 3 1 3 4 3
## [42049] 3 3 2 5 5 3 3 3 6 4 2 6 6 3 5 3 3 3 2 4 4 3 6 6 3 4 2 4 1 6 3 6 3 1 6 6
## [42085] 6 4 3 3 6 3 1 1 6 6 1 2 1 3 1 6 1 1 3 1 2 3 5 6 5 6 2 6 6 1 6 6 3 3 3 4
## [42121] 6 4 6 2 3 4 6 4 6 3 2 4 4 6 4 2 1 1 2 6 4 3 2 2 6 4 4 1 1 3 5 2 4 3 2 3
## [42157] 4 5 3 2 2 3 3 5 2 2 4 6 4 6 3 1 3 3 3 4 3 3 6 4 4 4 3 4 4 3 3 4 4 4 1 3
## [42193] 3 6 4 4 2 2 1 2 4 6 6 3 3 3 3 3 3 4 6 3 4 6 2 4 4 4 2 1 3 1 3 3 3 6 6 3
## [42229] 3 3 3 6 2 3 3 3 4 3 4 1 6 4 3 3 2 4 1 4 4 3 4 6 4 2 5 2 2 3 3 2 3 1 6 1
## [42265] 4 1 4 4 3 2 4 3 3 3 6 4 1 2 2 3 6 6 5 3 4 1 4 4 4 6 3 6 3 6 3 6 2 2 6 3
## [42301] 4 3 4 1 3 3 2 3 3 6 4 2 6 4 4 3 6 3 3 6 1 2 3 3 3 6 4 3 3 3 2 4 5 2 6 6
## [42337] 5 4 4 1 3 3 3 3 3 1 2 3 3 3 3 3 4 3 3 6 6 4 1 3 4 1 4 4 3 2 3 3 3 6 4 4
## [42373] 6 2 5 3 2 3 6 6 2 2 3 3 3 2 3 3 3 3 4 3 3 6 4 2 2 5 6 2 5 1 4 3 3 6 4 3
## [42409] 3 4 4 4 2 6 2 3 1 3 3 3 4 4 4 6 5 1 3 2 2 5 4 1 6 3 4 3 3 6 6 1 3 4 4 4
## [42445] 3 3 1 6 3 3 3 2 2 4 2 3 6 1 6 5 2 4 1 6 2 2 3 5 6 4 6 3 5 2 4 3 3 4 2 4
## [42481] 3 1 4 4 2 2 3 4 4 2 3 4 1 6 2 2 1 3 6 3 1 3 4 3 3 4 6 4 5 6 2 3 3 6 3 2
## [42517] 2 3 6 6 1 2 6 5 3 1 1 5 4 3 4 2 4 4 3 5 6 4 4 6 6 3 4 5 4 4 3 5 4 3 3 3
## [42553] 2 4 6 2 3 3 1 1 3 3 3 6 4 3 2 3 4 3 6 4 4 3 4 4 4 6 6 1 6 6 3 3 2 3 3 1
## [42589] 3 6 3 3 1 2 3 3 6 6 4 2 3 6 1 4 3 1 3 5 2 2 3 3 3 3 2 3 3 6 2 2 3 2 4 3
## [42625] 3 3 4 1 6 4 5 2 2 3 2 3 6 4 1 1 2 3 6 6 3 3 1 2 4 3 5 3 2 3 6 2 5 1 6 3
## [42661] 5 6 4 2 6 5 1 4 1 2 3 5 4 6 3 4 5 2 1 6 6 3 2 3 6 3 3 1 4 1 3 2 4 6 6 3
## [42697] 6 6 2 1 3 3 4 6 6 5 1 4 2 4 6 6 2 1 3 3 6 2 6 2 3 4 4 3 3 3 1 4 3 3 6 2
## [42733] 3 6 6 6 6 3 3 2 3 3 6 2 4 5 3 3 3 1 2 4 4 3 6 2 3 3 6 3 1 6 2 4 6 2 4 2
## [42769] 3 3 2 4 3 1 6 3 6 3 2 6 3 6 4 3 4 4 1 1 3 5 4 3 2 3 2 3 3 4 4 3 2 4 2 2
## [42805] 1 4 1 2 5 3 3 6 2 4 4 1 1 3 3 6 5 1 2 3 3 6 3 3 3 4 3 3 2 3 3 6 6 3 6 3
## [42841] 3 2 3 6 3 4 2 4 2 2 6 3 1 6 1 1 1 3 3 2 3 6 3 6 4 2 2 6 6 2 2 3 3 3 2 2
## [42877] 3 6 5 3 2 4 3 3 4 3 3 4 3 6 6 1 2 1 2 4 2 6 2 3 2 3 6 4 3 2 3 3 6 2 3 4
## [42913] 6 1 3 6 1 4 1 4 3 3 3 3 2 5 6 3 2 3 4 2 6 3 6 3 4 4 6 4 6 6 2 2 1 3 4 6
## [42949] 5 2 6 2 2 6 4 2 3 3 3 1 6 6 6 3 5 4 4 5 1 1 4 1 1 2 6 2 4 3 3 2 5 2 6 4
## [42985] 3 3 3 3 1 2 3 3 3 3 5 3 2 2 4 4 4 3 2 6 3 3 3 6 6 4 4 6 4 3 3 2 6 3 6 2
## [43021] 3 2 2 6 6 6 2 3 4 3 5 4 3 2 4 2 6 3 6 3 6 6 6 3 3 3 2 5 3 2 4 2 6 6 4 5
## [43057] 3 6 2 4 5 3 4 3 5 4 6 1 6 2 3 3 1 4 5 3 3 3 1 3 3 3 3 5 3 3 1 6 4 1 2 3
## [43093] 3 6 6 4 4 2 3 3 3 2 3 2 1 3 2 3 6 4 4 1 1 2 5 6 1 6 2 6 4 1 4 2 6 1 3 4
## [43129] 6 6 3 3 3 3 6 6 4 6 1 3 3 3 6 4 2 6 3 2 4 3 3 3 1 3 3 3 3 6 6 3 3 4 1 4
## [43165] 3 6 3 1 4 1 3 2 4 4 3 6 5 4 2 2 6 2 2 6 6 3 3 4 6 4 6 3 2 6 3 4 4 3 4 3
## [43201] 4 3 3 3 3 2 6 5 2 6 2 1 2 6 3 3 4 5 4 2 3 4 6 6 3 4 1 3 3 3 4 4 4 6 1 6
## [43237] 6 6 3 3 6 2 3 3 3 1 3 3 2 3 6 3 3 6 1 3 6 5 1 1 4 2 6 4 3 3 4 2 2 3 4 6
## [43273] 6 1 4 2 2 6 6 3 6 6 3 2 3 3 2 3 2 6 3 3 3 6 4 2 3 4 2 4 4 1 6 3 1 2 3 3
## [43309] 6 6 6 2 3 3 3 2 3 6 2 3 6 5 6 3 1 2 2 3 3 4 4 4 2 2 3 1 3 5 3 6 1 3 2 2
## [43345] 3 3 6 3 1 1 6 4 6 4 4 3 3 3 4 6 3 2 6 3 5 3 1 5 2 3 3 3 2 1 3 4 6 6 4 3
## [43381] 3 6 4 6 2 3 3 3 6 3 6 3 3 3 2 3 1 6 4 1 5 1 6 3 2 2 6 2 3 1 4 2 6 6 3 2
## [43417] 2 4 3 4 3 6 6 4 2 3 3 4 3 6 4 1 1 5 3 3 5 3 2 3 3 3 2 6 4 4 4 3 6 4 3 3
## [43453] 2 3 1 3 5 6 3 4 3 6 2 3 2 3 3 1 6 6 1 3 3 4 6 3 6 4 6 2 4 4 3 5 3 4 3 5
## [43489] 1 4 3 4 6 6 2 3 6 1 4 3 2 4 2 3 3 6 4 3 1 4 4 3 4 3 3 3 2 5 2 4 1 3 4 5
## [43525] 4 6 5 1 4 2 3 4 2 4 3 6 6 6 3 3 5 3 2 3 3 4 3 6 3 4 3 6 3 3 6 4 4 4 2 6
## [43561] 2 3 4 1 3 3 6 2 4 1 3 4 2 3 2 6 6 4 6 4 5 3 3 4 2 4 2 4 4 3 6 1 3 3 6 1
## [43597] 6 1 6 2 5 3 4 3 4 3 6 4 6 1 3 5 3 4 3 3 3 1 1 5 1 2 1 3 2 6 3 3 3 3 3 1
## [43633] 1 3 3 2 2 3 4 2 4 6 4 4 4 3 1 6 3 3 1 4 2 3 4 4 1 3 2 3 4 3 3 2 3 3 6 4
## [43669] 3 3 4 1 4 6 6 3 3 3 5 4 2 3 2 6 3 6 1 3 4 6 2 2 2 6 2 3 3 2 4 4 1 4 5 4
## [43705] 2 6 4 3 3 3 1 4 4 3 2 3 3 2 3 3 5 3 6 3 6 4 4 2 4 4 4 1 5 3 2 3 3 6 3 4
## [43741] 2 4 6 6 2 6 1 3 4 2 4 3 3 5 5 3 2 4 2 3 3 4 3 6 3 4 3 3 3 6 5 6 3 1 6 6
## [43777] 3 1 6 3 2 3 4 6 2 3 3 2 2 3 2 3 5 6 4 2 2 3 3 4 3 2 1 4 1 3 3 6 6 3 4 3
## [43813] 5 2 2 4 3 6 1 3 3 3 3 4 6 6 2 3 4 4 6 4 4 3 2 5 4 1 2 6 4 3 3 3 3 3 2 1
## [43849] 1 6 6 6 4 3 2 4 3 3 1 5 6 4 6 1 2 2 4 3 6 3 2 3 1 1 4 6 6 3 4 4 4 2 2 6
## [43885] 1 3 1 3 3 2 6 3 3 4 3 3 2 4 3 3 1 2 1 4 2 3 3 3 4 6 6 6 5 3 3 4 1 6 1 4
## [43921] 1 1 4 4 6 2 4 6 3 3 4 4 4 3 2 5 3 2 3 3 4 4 2 6 4 2 1 6 4 3 3 2 3 1 6 6
## [43957] 6 6 6 3 4 4 5 2 4 4 2 2 3 5 2 3 4 3 4 4 4 1 3 2 2 4 3 6 2 3 5 6 1 1 4 3
## [43993] 2 3 1 2 2 3 1 3 4 1 4 4 4 6 3 2 4 4 6 3 3 3 2 1 6 3 1 3 6 3 1 3 4 2 5 4
## [44029] 3 2 4 3 4 3 4 4 4 3 4 6 1 3 1 6 3 1 5 6 6 6 5 4 2 2 6 3 4 3 2 4 1 5 1 3
## [44065] 4 3 3 2 3 2 6 6 2 3 4 4 2 4 4 4 2 6 3 3 2 3 3 6 1 3 4 3 3 2 6 3 6 4 6 4
## [44101] 2 2 3 6 3 2 1 3 3 4 5 4 4 3 1 2 6 4 4 4 6 6 6 3 4 5 3 3 1 6 5 3 3 4 3 6
## [44137] 4 1 3 3 6 2 4 3 1 3 2 1 2 6 5 4 3 6 3 6 6 3 1 3 1 2 6 3 3 1 6 6 4 5 4 6
## [44173] 3 4 3 2 4 2 1 3 5 6 1 3 1 5 1 1 3 5 3 1 3 6 1 1 2 6 2 4 1 5 6 3 3 3 6 3
## [44209] 3 3 3 4 6 3 6 1 2 3 5 6 3 5 6 1 6 3 3 2 4 4 3 3 1 6 1 5 1 2 2 3 6 3 2 3
## [44245] 3 4 4 5 4 6 5 5 2 4 1 2 3 6 3 2 3 3 2 3 2 4 3 4 4 4 4 2 4 3 3 3 1 3 2 6
## [44281] 3 3 2 6 5 4 1 1 4 6 6 4 6 4 4 6 1 4 4 3 3 3 2 4 6 6 6 3 3 6 3 4 6 3 2 2
## [44317] 1 2 3 6 1 6 3 3 3 2 3 2 3 4 3 2 3 2 1 2 3 3 2 6 3 4 1 6 4 6 1 3 4 4 6 6
## [44353] 4 6 3 4 3 3 6 3 6 1 6 1 6 1 4 1 6 4 2 3 1 6 6 4 2 4 4 6 3 3 4 4 2 6 2 3
## [44389] 6 4 3 5 2 6 6 6 4 3 4 4 2 1 1 2 1 1 3 4 3 2 3 3 3 3 1 4 6 2 4 4 4 2 4 2
## [44425] 2 3 6 3 3 3 2 6 2 2 3 6 1 2 6 6 6 2 3 6 2 4 6 3 3 1 3 3 3 2 3 2 4 2 6 6
## [44461] 6 6 4 2 3 3 1 3 4 3 3 6 2 4 3 3 1 3 4 3 6 4 4 3 4 1 3 1 4 1 1 6 5 6 6 3
## [44497] 6 1 3 2 3 6 2 4 6 2 5 3 3 1 2 2 3 6 4 3 2 4 3 4 3 1 2 5 3 6 4 1 3 4 3 3
## [44533] 4 3 4 4 6 2 1 6 4 4 5 2 4 1 4 2 2 6 2 6 1 6 3 6 3 6 6 1 4 6 2 4 5 1 4 6
## [44569] 4 6 4 3 2 2 3 1 3 3 3 1 6 4 6 4 6 1 3 3 6 6 3 4 4 3 3 6 3 6 1 6 3 3 5 6
## [44605] 5 4 6 2 6 6 3 6 2 6 4 3 4 2 2 6 6 5 3 3 4 2 5 3 6 1 1 4 3 4 1 5 4 6 2 5
## [44641] 6 3 6 6 6 3 3 6 6 1 3 2 4 3 3 2 3 5 6 3 4 6 4 3 1 4 4 3 2 4 5 6 1 4 3 4
## [44677] 4 2 6 3 3 2 6 4 4 6 3 2 1 3 4 2 6 6 1 3 2 2 6 2 5 2 4 6 6 6 3 3 4 6 3 2
## [44713] 6 2 6 6 6 2 1 2 1 4 6 3 3 4 6 4 6 6 3 6 1 6 3 6 3 6 1 4 6 4 1 6 6 3 3 6
## [44749] 3 2 2 3 3 3 4 2 3 3 3 3 6 1 6 3 4 1 5 4 4 1 4 6 6 1 4 5 4 1 4 2 3 4 3 3
## [44785] 1 3 4 2 2 1 6 2 6 6 6 3 6 2 3 2 3 1 3 3 2 6 3 6 3 6 2 3 2 2 4 3 4 4 2 3
## [44821] 5 3 2 6 2 4 2 3 4 3 1 2 3 2 2 3 4 4 2 1 3 4 3 2 2 2 4 3 6 5 1 4 2 6 2 2
## [44857] 4 5 4 4 4 3 6 2 5 3 6 3 4 1 4 5 3 3 4 1 2 4 3 4 2 5 4 6 3 1 5 4 6 3 5 3
## [44893] 2 5 6 6 3 3 2 3 3 5 2 3 1 3 3 4 2 6 4 3 4 6 2 6 6 6 3 4 5 1 3 2 6 3 3 4
## [44929] 6 3 2 4 4 4 4 3 1 5 4 6 6 2 2 4 2 6 3 2 2 6 4 3 3 2 6 6 3 6 3 2 1 6 2 3
## [44965] 3 1 5 3 6 2 3 4 6 3 6 2 2 4 2 2 3 3 3 3 4 6 4 6 3 4 2 3 3 1 3 3 3 6 4 1
## [45001] 6 1 4 3 3 3 3 2 3 3 2 6 2 4 3 4 2 3 2 6 3 1 3 2 3 2 3 4 1 6 3 3 1 6 3 3
## [45037] 3 3 4 3 2 3 6 4 3 3 3 3 1 6 2 6 3 4 2 3 1 3 3 4 3 3 5 5 1 3 1 3 2 2 5 4
## [45073] 6 3 2 2 2 3 3 6 3 3 3 3 2 3 5 4 1 2 3 2 2 3 6 6 3 6 3 6 2 3 4 4 6 6 1 3
## [45109] 3 5 6 3 3 3 3 6 6 4 6 3 4 6 3 4 4 3 3 3 1 2 3 3 4 6 2 4 3 6 3 3 6 3 4 6
## [45145] 1 6 3 2 3 6 2 3 3 3 6 3 4 3 6 3 3 3 3 3 2 2 3 6 6 1 2 3 3 3 6 4 2 4 4 5
## [45181] 6 1 3 4 3 4 3 3 6 3 2 2 5 3 3 3 6 3 4 2 4 3 3 4 3 4 2 6 6 4 2 1 6 1 3 6
## [45217] 4 3 3 6 2 4 2 3 3 3 3 3 4 2 6 4 1 6 3 4 4 6 2 3 3 4 4 3 6 3 4 3 1 3 6 6
## [45253] 6 3 6 3 4 4 4 6 4 3 3 2 6 2 6 3 6 3 3 2 3 2 4 3 6 4 4 1 6 3 4 1 5 1 3 4
## [45289] 4 2 6 2 3 5 2 1 3 4 6 3 6 3 6 3 3 3 3 1 1 3 6 2 3 1 2 4 3 5 3 4 1 3 4 2
## [45325] 6 1 4 3 4 3 2 4 4 3 4 3 6 6 3 3 5 5 1 1 4 1 3 6 1 1 6 3 6 4 2 2 4 3 3 6
## [45361] 6 6 3 6 2 6 3 3 3 2 3 4 2 4 3 3 1 5 3 2 6 1 3 2 6 4 3 3 3 1 4 3 3 3 4 6
## [45397] 4 3 2 6 6 6 4 2 4 5 1 2 4 6 4 6 2 6 5 4 2 3 3 1 6 1 1 4 6 6 3 4 3 2 3 1
## [45433] 6 3 4 4 5 3 4 4 3 3 2 6 4 1 3 2 4 3 3 2 6 3 6 4 5 4 6 4 4 4 5 2 5 4 3 6
## [45469] 3 3 3 3 3 3 2 6 3 3 3 3 4 3 2 2 4 2 3 3 2 6 3 4 6 1 4 4 3 1 6 3 3 4 2 2
## [45505] 6 4 3 2 3 6 4 3 4 6 3 6 5 2 1 1 2 1 2 3 6 4 3 3 5 6 6 3 3 6 6 3 4 2 5 4
## [45541] 4 4 3 4 4 2 2 4 1 4 5 4 2 3 4 4 6 6 4 2 4 2 3 2 5 3 1 2 4 6 6 6 3 3 4 2
## [45577] 6 6 6 4 1 4 4 1 4 3 4 6 6 3 2 4 3 6 5 3 6 3 6 2 3 3 2 1 6 3 3 2 6 1 5 3
## [45613] 2 2 2 4 6 4 3 2 4 2 3 6 6 1 2 3 2 4 2 3 4 4 4 6 3 2 2 6 2 4 1 2 5 3 1 4
## [45649] 2 3 4 3 6 3 6 3 3 3 3 2 3 1 3 4 6 4 1 4 5 3 2 3 2 3 6 3 2 4 6 2 4 1 3 4
## [45685] 3 6 3 1 6 6 1 1 6 3 3 3 5 1 4 4 2 4 4 1 3 6 1 2 3 3 5 3 4 6 6 6 6 3 2 4
## [45721] 4 3 2 3 2 1 3 6 3 4 2 3 6 3 6 3 3 2 3 1 4 4 6 6 4 1 3 4 4 2 3 2 6 1 6 3
## [45757] 2 3 6 1 4 3 1 2 1 4 3 3 1 3 3 1 6 4 1 3 2 2 2 6 3 3 6 2 3 6 4 5 6 6 3 3
## [45793] 6 5 6 6 3 1 3 4 1 2 6 6 3 2 4 6 5 4 4 4 6 3 4 2 4 4 4 3 4 2 2 6 1 1 1 6
## [45829] 3 2 2 3 2 3 3 2 3 5 3 1 4 3 2 4 4 2 1 2 3 6 1 2 1 4 6 3 4 6 3 3 6 4 1 2
## [45865] 3 4 3 2 4 2 6 4 4 6 6 6 4 2 4 3 2 5 3 4 6 4 6 2 1 6 4 3 2 2 4 3 6 4 3 4
## [45901] 3 6 6 6 2 4 4 2 3 2 3 3 1 3 2 6 4 5 6 6 3 3 3 2 2 6 4 3 4 1 3 3 3 2 4 3
## [45937] 6 6 1 6 1 1 3 3 2 5 6 6 5 4 3 2 1 3 3 6 2 4 1 3 3 3 3 6 4 2 1 6 4 1 6 3
## [45973] 2 6 3 2 4 3 2 6 2 3 2 3 3 6 6 3 2 3 4 3 3 4 6 1 1 6 2 2 2 5 4 3 3 3 3 4
## [46009] 6 3 4 2 2 6 3 3 3 4 2 4 1 4 2 6 3 3 4 6 3 2 3 1 6 3 2 4 4 1 4 2 6 4 5 6
## [46045] 4 3 3 6 3 4 1 4 3 3 3 3 3 5 6 5 3 2 3 3 6 3 2 4 3 3 6 1 3 2 6 6 5 6 6 1
## [46081] 1 3 5 4 6 4 6 2 2 3 3 3 2 3 3 3 6 2 2 4 3 5 1 1 4 3 3 5 6 6 1 1 1 4 2 5
## [46117] 3 2 3 3 4 3 2 2 4 3 6 6 1 3 6 2 4 3 3 2 4 3 6 5 3 6 6 3 4 3 3 6 6 1 4 3
## [46153] 1 3 4 6 2 2 3 3 6 2 3 6 4 1 3 6 3 3 5 4 4 6 6 6 1 4 4 6 3 3 3 1 3 6 4 6
## [46189] 3 2 4 2 5 6 3 6 6 2 6 6 6 1 3 4 3 5 4 4 1 3 1 3 5 4 4 2 3 6 3 6 5 3 5 6
## [46225] 4 6 1 6 2 6 6 3 3 6 4 2 4 2 3 2 1 1 4 4 6 1 3 3 1 6 1 6 4 3 6 6 3 6 3 4
## [46261] 4 4 2 2 4 4 4 3 4 6 3 6 3 6 3 3 3 4 1 3 3 6 3 4 1 6 3 3 3 2 4 2 4 2 4 1
## [46297] 3 3 3 5 2 3 6 6 4 2 2 3 3 4 6 3 3 3 3 3 6 6 6 6 3 4 3 6 3 4 3 3 6 2 2 1
## [46333] 3 2 3 6 4 6 3 3 1 3 6 5 4 4 3 5 4 3 3 2 3 3 2 4 6 1 6 2 1 6 2 2 3 3 4 3
## [46369] 4 1 1 6 5 3 6 1 3 2 1 3 2 6 3 2 3 5 3 2 1 2 6 6 1 4 3 6 5 5 6 4 3 2 3 4
## [46405] 6 2 2 2 1 3 4 5 2 2 3 1 3 5 3 4 3 3 5 3 6 3 2 6 3 4 3 2 3 3 4 6 4 3 3 1
## [46441] 4 3 3 6 3 3 6 2 3 1 6 3 3 4 6 6 3 4 3 3 5 6 3 6 3 3 2 4 1 4 4 6 6 4 3 4
## [46477] 4 1 6 2 6 3 6 3 6 3 4 6 3 6 1 3 3 1 6 1 4 6 1 1 4 1 3 6 4 4 4 4 3 3 3 6
## [46513] 2 6 2 1 3 3 2 6 2 6 6 1 3 6 2 5 3 3 3 1 2 3 4 6 3 6 3 6 3 1 6 1 2 4 3 2
## [46549] 5 3 3 2 4 6 2 6 3 3 4 3 6 2 5 6 4 4 3 5 6 4 1 4 6 3 6 1 1 3 2 6 6 2 3 5
## [46585] 3 4 2 4 6 6 6 3 6 3 4 2 3 4 2 2 3 4 6 3 4 1 2 6 5 2 4 3 3 4 2 6 4 3 1 6
## [46621] 6 2 4 4 6 1 4 2 4 4 2 3 4 4 1 6 1 5 2 6 4 3 1 5 3 6 6 3 3 2 2 3 6 3 6 3
## [46657] 3 3 2 4 2 6 6 6 3 1 3 6 6 6 4 4 6 5 4 3 1 2 4 1 2 3 2 4 6 4 6 3 2 6 4 5
## [46693] 3 5 2 1 1 2 3 1 4 3 4 3 1 2 3 3 6 2 3 3 6 2 6 4 6 6 6 3 5 6 4 5 2 3 2 6
## [46729] 6 3 3 5 2 6 5 1 3 6 3 3 4 3 3 3 2 4 3 4 6 2 3 2 4 3 3 5 5 1 6 3 3 1 1 1
## [46765] 6 3 6 4 3 3 6 3 2 4 3 2 3 4 3 3 6 1 3 2 2 3 4 3 2 3 3 3 6 4 3 5 3 2 4 2
## [46801] 6 1 6 6 3 6 6 5 2 5 3 2 3 2 2 6 4 6 6 4 6 3 2 4 1 4 3 4 6 3 2 1 2 4 3 3
## [46837] 3 6 3 6 3 4 3 6 4 4 4 4 3 6 3 3 3 5 3 6 2 2 1 4 4 5 5 1 3 2 2 3 3 4 4 6
## [46873] 4 3 2 5 1 6 6 1 6 4 3 3 6 6 4 1 4 4 6 4 6 3 1 3 3 6 4 3 2 6 2 4 5 5 3 1
## [46909] 2 3 3 6 3 6 5 4 6 3 6 2 4 6 2 6 4 5 3 3 4 3 6 1 1 2 3 2 3 3 3 2 3 6 1 3
## [46945] 6 3 2 3 2 2 3 3 6 4 3 3 3 1 1 4 2 1 3 6 3 3 3 2 6 5 6 4 4 4 2 3 4 4 4 4
## [46981] 4 6 6 4 6 6 2 5 3 2 6 3 3 3 6 3 3 6 6 3 4 6 6 2 6 4 3 4 5 3 6 4 2 3 2 4
## [47017] 1 5 6 1 1 4 3 4 4 3 1 6 1 4 3 2 2 6 3 3 3 3 5 6 3 3 2 3 6 2 6 3 3 4 3 2
## [47053] 3 2 3 2 2 6 1 3 3 1 6 6 6 5 3 4 2 6 6 4 4 3 2 6 6 4 4 5 4 4 3 3 3 4 4 4
## [47089] 6 6 3 6 3 6 4 4 3 3 3 4 6 2 6 4 4 2 1 1 2 5 2 2 2 4 3 6 4 6 3 3 3 3 1 5
## [47125] 5 3 3 4 3 3 2 2 2 3 5 3 1 3 2 3 3 2 2 3 3 6 3 6 3 6 5 2 5 6 3 2 2 3 6 1
## [47161] 3 2 1 6 1 1 6 1 5 3 6 1 4 4 3 3 6 6 1 6 3 3 2 3 4 4 6 2 5 6 2 4 3 6 2 6
## [47197] 5 3 3 6 4 4 4 3 4 1 6 3 6 4 2 3 4 1 3 6 4 2 5 2 2 4 4 4 3 4 6 6 4 3 4 3
## [47233] 2 3 2 6 5 6 4 5 4 6 6 5 6 4 3 4 6 6 3 3 3 4 6 2 2 3 3 2 4 2 6 1 3 4 2 3
## [47269] 4 1 2 5 4 3 6 1 2 2 3 6 2 4 2 6 6 2 3 5 2 2 3 3 4 6 4 1 2 4 2 2 3 3 2 3
## [47305] 2 3 1 3 6 6 1 5 2 4 4 3 3 4 1 4 6 2 6 3 4 2 3 3 5 3 6 3 3 2 3 1 3 3 6 4
## [47341] 3 4 2 6 3 1 4 5 2 3 2 3 4 2 2 3 2 3 3 1 3 2 2 4 2 6 4 4 4 6 4 6 2 3 4 6
## [47377] 4 3 6 3 3 3 3 4 3 4 2 6 3 4 2 2 6 1 1 2 4 3 5 3 3 2 6 6 2 6 4 3 2 1 2 4
## [47413] 2 1 5 3 3 4 3 4 6 6 6 3 3 2 6 1 1 1 2 2 6 2 2 4 2 2 3 1 1 4 1 6 2 5 1 6
## [47449] 3 3 6 2 3 6 3 5 4 3 6 2 4 2 6 3 3 1 3 1 2 6 4 6 6 3 2 6 4 1 3 4 6 1 5 1
## [47485] 4 3 3 2 3 4 1 4 5 6 3 3 2 5 5 1 2 4 3 4 3 2 6 3 1 2 5 4 2 4 1 3 4 4 3 6
## [47521] 4 3 6 6 4 2 4 4 2 1 3 4 4 3 6 3 2 5 6 4 6 6 6 3 2 2 3 4 6 3 4 4 6 4 2 6
## [47557] 4 3 3 4 3 4 3 6 6 2 6 1 6 3 3 5 3 3 4 3 4 6 2 3 3 6 3 5 1 1 1 2 3 4 6 3
## [47593] 2 2 6 6 3 4 3 6 3 5 3 3 2 3 3 2 3 2 3 3 4 3 4 6 2 3 2 4 4 3 4 3 3 2 1 4
## [47629] 3 3 3 3 4 2 3 5 3 4 6 2 4 3 2 3 6 4 3 2 6 3 2 3 1 3 4 3 4 5 5 6 2 5 5 1
## [47665] 5 4 6 3 6 3 3 6 1 5 3 2 4 6 2 3 2 3 6 2 6 6 1 4 3 2 4 2 3 1 2 3 4 2 1 2
## [47701] 1 2 3 6 6 3 1 4 4 4 3 6 4 6 6 2 4 6 6 3 6 3 6 2 2 4 6 3 6 3 3 4 1 4 2 3
## [47737] 1 3 2 3 6 1 3 6 2 3 3 4 4 2 4 3 4 3 2 6 6 6 2 3 3 4 1 3 1 4 3 3 4 6 5 3
## [47773] 6 1 3 3 6 3 4 3 3 2 6 3 3 6 6 3 6 3 6 4 3 4 2 4 3 2 2 3 2 3 4 6 4 2 4 3
## [47809] 3 2 4 3 3 3 6 2 4 3 3 3 5 3 6 3 3 4 4 1 6 3 4 1 6 4 3 6 3 3 5 1 2 6 3 3
## [47845] 2 3 4 3 3 6 6 3 2 6 3 2 3 6 6 5 4 6 3 4 3 5 4 3 2 2 2 3 6 3 6 2 3 5 4 4
## [47881] 3 3 2 3 4 6 3 3 1 4 3 3 6 2 6 6 5 1 3 6 5 4 4 2 2 6 6 2 3 6 6 3 6 3 3 3
## [47917] 2 5 3 5 2 4 1 1 3 1 6 3 6 5 4 2 3 3 6 3 2 6 2 4 6 5 3 3 3 1 1 1 4 6 3 3
## [47953] 3 3 4 6 4 4 4 2 1 2 3 2 2 3 3 2 2 1 4 4 6 2 1 2 5 1 4 4 2 2 2 1 5 4 6 4
## [47989] 6 6 2 3 3 4 3 1 3 4 6 3 3 6 4 1 2 3 2 3 4 1 4 3 3 6 6 4 1 2 6 1 4 3 4 2
## [48025] 4 4 2 2 6 3 6 3 2 6 1 6 6 3 2 3 4 3 3 3 2 2 4 3 3 1 6 3 1 2 3 6 3 1 5 5
## [48061] 2 5 6 6 4 2 6 1 1 4 1 3 6 5 4 4 2 6 4 6 1 3 3 2 6 2 4 6 4 3 4 3 3 6 6 6
## [48097] 1 3 4 4 1 3 6 3 3 2 3 2 3 2 3 6 3 1 6 4 3 2 6 2 3 3 6 5 3 6 3 4 3 2 3 1
## [48133] 2 1 4 6 3 4 3 3 2 2 2 4 5 2 3 3 3 4 2 4 2 2 4 1 6 6 6 3 3 3 1 4 1 3 3 6
## [48169] 6 6 1 6 3 4 5 3 3 2 3 6 6 2 2 3 3 3 3 3 6 1 4 2 3 4 6 6 6 1 6 3 6 4 2 5
## [48205] 3 3 3 2 5 2 4 2 6 2 6 4 3 2 3 1 2 1 4 5 5 2 2 4 3 4 6 3 4 6 4 3 4 4 1 1
## [48241] 1 2 6 3 1 2 3 4 3 6 3 1 5 2 3 2 3 4 4 2 2 6 6 2 6 6 1 3 5 5 6 3 3 4 3 6
## [48277] 2 3 2 2 3 1 3 6 2 4 3 2 2 4 3 6 2 6 5 2 4 4 3 2 4 2 6 6 6 3 6 2 4 6 3 4
## [48313] 4 3 3 4 3 3 3 3 3 4 6 3 6 1 3 4 1 5 2 6 3 1 3 3 5 3 3 2 3 3 3 6 4 1 3 6
## [48349] 6 2 6 2 5 6 2 1 6 6 3 4 3 3 2 4 4 4 4 6 3 3 6 2 3 1 3 6 4 4 4 1 3 6 2 3
## [48385] 6 4 6 3 3 4 3 3 6 3 2 3 6 2 1 4 4 3 3 6 4 4 3 2 3 3 3 1 4 4 3 3 3 2 3 2
## [48421] 3 3 2 6 3 1 2 6 2 2 6 3 6 2 4 4 3 5 6 6 1 6 6 2 4 1 2 6 3 3 3 6 4 3 3 3
## [48457] 3 2 2 2 4 2 3 3 6 4 2 4 6 2 3 6 3 3 4 6 4 6 3 4 1 3 6 3 4 6 1 4 2 3 4 5
## [48493] 5 3 2 3 6 3 6 4 3 1 3 1 5 5 1 3 6 6 6 4 2 4 6 3 6 6 6 2 2 2 3 3 1 2 2 4
## [48529] 2 4 6 2 6 1 5 4 2 4 3 6 6 5 4 4 1 1 6 2 1 6 2 2 6 2 3 2 3 1 2 6 2 3 3 4
## [48565] 3 2 2 4 3 4 3 6 3 3 3 3 3 3 4 6 1 3 2 4 4 4 4 2 1 3 2 2 4 2 2 6 2 2 3 3
## [48601] 2 3 1 1 6 3 1 2 6 3 4 3 2 2 4 1 2 5 6 1 3 4 6 6 3 3 1 4 1 3 5 4 6 3 3 3
## [48637] 4 3 4 2 3 6 3 2 5 4 3 3 1 3 1 4 3 1 6 4 2 1 3 3 6 3 1 3 1 2 2 1 6 1 4 4
## [48673] 2 4 1 6 1 6 2 4 3 4 2 2 1 6 3 2 2 3 2 6 3 3 2 3 6 2 3 6 2 3 3 4 6 6 6 2
## [48709] 3 4 3 4 2 3 3 4 1 3 6 3 2 3 4 3 3 3 4 3 5 5 3 4 4 4 1 3 3 2 2 3 3 3 2 4
## [48745] 2 3 1 2 4 3 2 2 2 3 2 6 3 2 6 2 5 4 1 3 4 2 1 3 3 4 4 4 6 3 3 3 1 4 4 1
## [48781] 6 6 6 3 1 3 2 3 6 6 3 3 3 1 3 2 3 3 1 2 3 3 3 3 5 1 3 6 6 4 4 6 6 1 3 2
## [48817] 2 4 3 3 1 3 3 4 6 6 4 4 3 4 3 4 3 3 3 2 3 1 4 6 6 2 3 3 2 3 6 4 1 6 3 4
## [48853] 4 2 3 3 4 4 2 4 6 6 4 4 6 2 4 2 2 1 3 1 2 5 3 4 3 6 6 6 5 3 4 3 3 3 4 4
## [48889] 1 3 3 4 4 5 1 1 1 3 4 5 3 3 6 6 5 2 1 6 3 2 4 3 5 2 3 4 2 4 6 3 2 4 4 2
## [48925] 1 5 3 3 3 3 2 3 4 3 3 6 4 3 3 5 6 1 2 2 1 6 6 6 4 6 6 2 6 1 1 3 2 3 2 3
## [48961] 5 6 2 2 6 3 3 1 2 2 4 2 2 2 4 2 4 3 3 6 2 4 3 2 4 4 3 5 2 2 4 3 2 2 3 4
## [48997] 1 6 3 6 1 3 2 6 3 4 4 3 3 3 1 3 6 3 2 4 6 3 6 4 3 3 4 3 4 3 6 3 3 3 4 2
## [49033] 4 3 3 1 2 1 5 3 4 2 2 3 6 2 1 2 3 6 6 2 3 6 2 2 6 5 2 3 3 6 6 5 4 4 4 5
## [49069] 2 3 4 3 3 2 2 6 6 4 3 6 2 3 3 5 1 6 4 6 6 4 5 4 3 4 4 3 2 3 5 3 2 2 6 2
## [49105] 6 4 2 2 2 2 3 2 6 3 3 3 1 3 3 3 1 4 3 3 2 6 2 2 6 2 6 4 6 3 4 2 3 3 2 2
## [49141] 5 4 6 2 3 4 4 3 3 4 3 2 6 3 3 1 5 3 3 4 1 6 3 2 5 6 4 3 6 4 2 1 6 1 2 3
## [49177] 4 6 4 4 2 3 3 6 1 3 4 3 3 2 4 5 5 3 1 4 3 1 2 3 2 2 3 6 6 6 6 4 2 3 3 2
## [49213] 2 3 6 2 3 3 4 4 6 4 3 6 4 6 6 3 3 3 4 4 3 2 3 4 3 6 1 3 2 3 4 3 4 4 3 6
## [49249] 2 6 4 4 2 3 3 4 4 2 3 1 2 4 3 3 4 6 4 2 3 1 4 3 6 6 3 4 6 4 3 3 3 6 3 1
## [49285] 6 3 6 6 3 3 3 3 2 3 1 6 3 3 2 5 1 5 4 6 6 6 3 3 6 1 3 3 2 3 3 3 4 4 3 4
## [49321] 4 3 3 6 4 3 2 4 2 2 6 1 2 6 1 3 4 6 6 2 4 4 3 4 2 6 6 6 6 2 6 3 4 1 4 3
## [49357] 5 4 3 3 1 2 6 4 2 3 5 3 2 2 6 3 2 4 4 2 2 3 3 6 3 5 1 2 4 4 6 6 3 2 2 6
## [49393] 2 6 3 3 4 4 3 3 3 1 2 3 6 3 1 2 4 3 6 6 3 5 3 6 3 3 3 1 4 6 1 3 4 2 2 6
## [49429] 6 3 1 1 2 4 6 3 6 3 4 1 2 3 2 6 2 1 3 5 4 2 6 1 1 6 3 3 3 1 4 2 6 4 5 4
## [49465] 3 6 3 4 6 4 4 6 6 2 6 6 6 3 1 4 2 6 3 3 3 6 4 4 6 3 3 5 4 3 6 4 5 6 6 2
## [49501] 1 4 6 6 1 4 4 1 5 1 4 4 2 3 2 3 3 2 1 3 4 3 3 1 5 4 2 2 4 6 4 6 4 2 4 3
## [49537] 1 2 2 2 6 4 3 3 3 2 2 3 4 3 2 4 4 2 2 2 2 1 3 4 3 6 2 3 4 6 2 6 6 3 3 3
## [49573] 4 6 6 3 3 3 3 6 6 6 2 3 1 2 5 3 4 6 6 4 6 2 4 4 3 3 6 4 4 1 2 3 4 2 3 3
## [49609] 3 3 6 4 4 3 2 3 3 2 2 2 6 4 4 5 4 6 3 1 6 4 1 3 1 5 4 2 4 4 6 3 3 5 2 1
## [49645] 3 4 6 4 4 4 1 4 3 3 3 2 3 4 5 3 6 2 3 1 5 6 2 3 2 2 4 3 5 2 1 6 4 4 3 3
## [49681] 4 1 2 3 6 2 3 2 4 4 2 6 4 3 2 6 2 6 3 6 3 6 4 3 2 6 5 2 3 6 4 3 6 6 6 3
## [49717] 6 3 2 4 2 5 6 5 4 3 3 2 3 6 6 2 6 4 2 3 2 3 6 3 3 4 1 1 5 4 6 2 3 3 2 3
## [49753] 3 3 3 3 3 4 6 1 5 4 3 5 4 6 1 2 4 6 3 1 5 3 1 2 4 2 6 2 4 2 2 2 3 3 6 1
## [49789] 2 6 6 4 4 5 2 3 3 4 2 5 3 3 6 6 4 2 6 4 5 6 4 3 6 6 3 1 1 3 4 5 2 3 3 2
## [49825] 6 2 3 3 1 2 4 3 3 6 3 4 4 2 4 6 3 6 4 5 2 5 6 2 4 2 2 3 6 3 4 6 6 2 6 6
## [49861] 3 1 1 3 3 3 3 1 3 6 3 1 2 3 6 2 3 4 3 4 3 3 3 2 6 3 4 2 4 4 4 5 3 3 2 4
## [49897] 3 3 6 3 1 4 5 1 2 5 1 1 3 4 1 5 4 3 1 1 6 3 3 2 2 4 3 6 3 3 3 3 2 4 3 4
## [49933] 6 3 3 6 2 2 3 6 4 6 2 6 6 2 6 2 3 3 2 6 4 6 3 2 3 6 3 3 3 4 3 4 3 6 1 1
## [49969] 4 6 1 3 4 3 4 6 3 3 6 2 2 4 2 6 6 3 1 3 4 3 6 6 4 4 3 4 3 3 3 3 6 5 3 2
## [50005] 6 6 3 4 3 1 4 4 4 2 6 6 3 2 4 4 3 3 6 4 4 4 6 6 4 3 1 3 1 6 3 1 5 3 5 4
## [50041] 5 2 3 2 3 3 2 3 4 3 6 6 4 3 5 1 3 4 6 6 6 3 3 3 4 6 6 3 1 4 3 2 2 3 3 2
## [50077] 1 4 2 3 5 6 1 6 5 3 4 4 6 2 5 5 3 2 4 2 1 3 3 6 5 3 6 4 4 6 3 3 2 4 2 4
## [50113] 4 3 1 2 3 3 6 1 3 6 6 4 3 4 6 6 1 3 6 6 4 4 1 3 4 3 6 3 4 6 3 4 1 2 5 4
## [50149] 2 2 4 6 3 2 3 3 1 1 4 6 2 3 4 3 5 3 6 3 3 3 3 3 2 3 4 3 1 3 5 2 2 6 4 5
## [50185] 1 4 3 4 4 3 3 2 2 6 6 3 3 2 3 6 2 2 6 2 2 3 2 3 4 2 2 3 6 4 3 2 2 6 4 3
## [50221] 3 2 3 2 2 6 1 3 2 1 6 4 1 3 4 1 2 4 3 4 3 3 2 6 4 2 6 6 2 2 4 1 4 2 3 1
## [50257] 3 3 3 2 2 2 3 5 2 4 4 3 6 5 3 2 6 3 3 1 1 6 4 4 6 2 5 2 4 1 4 4 3 4 5 3
## [50293] 3 1 6 3 6 3 6 4 3 6 4 2 6 4 3 4 4 3 4 3 1 3 3 6 3 5 6 4 3 3 2 2 6 1 4 4
## [50329] 6 3 1 2 3 3 3 3 6 6 6 6 4 1 6 2 6 3 1 6 2 4 3 3 2 3 3 3 3 5 6 1 5 3 1 3
## [50365] 6 3 3 1 6 1 2 1 3 1 3 3 1 2 3 5 2 2 2 3 3 3 2 6 4 3 3 6 3 3 6 2 3 3 2 6
## [50401] 3 6 4 3 1 5 6 3 6 3 6 4 3 4 1 1 6 3 5 3 2 6 3 4 3 4 3 2 1 3 2 6 6 6 4 5
## [50437] 2 3 6 4 3 6 3 1 2 2 2 2 6 1 3 3 6 6 6 2 1 6 1 4 2 4 1 3 1 3 3 1 5 5 4 4
## [50473] 1 2 1 6 6 1 3 4 3 2 3 3 3 1 4 3 2 6 4 3 3 3 4 2 2 2 4 6 4 4 4 6 3 4 3 6
## [50509] 2 3 6 6 4 4 3 3 3 3 4 2 3 2 4 3 4 4 1 6 3 6 3 4 1 4 6 4 4 4 3 3 6 4 3 4
## [50545] 6 1 2 3 3 3 4 4 2 5 4 6 3 3 5 6 6 1 6 5 6 6 2 6 3 6 6 3 4 1 2 6 5 6 2 4
## [50581] 2 6 2 6 6 1 3 3 3 2 6 6 6 2 3 2 1 5 6 5 4 4 1 5 4 1 4 3 4 3 3 4 3 4 2 3
## [50617] 3 6 2 6 6 3 2 3 2 3 3 3 4 6 6 6 2 6 5 4 3 2 6 3 4 5 2 3 2 4 3 6 1 2 3 6
## [50653] 6 2 6 3 6 2 3 6 5 4 3 3 3 2 3 4 3 6 3 4 3 6 1 3 1 5 4 6 6 4 5 6 3 2 6 3
## [50689] 6 2 3 3 5 5 2 1 3 4 1 2 2 4 3 2 6 3 3 4 4 2 6 4 6 4 2 4 4 6 3 3 2 2 3 3
## [50725] 2 3 6 1 5 3 3 6 3 3 3 3 3 1 4 3 6 3 4 6 2 1 1 4 6 6 3 1 1 4 4 2 4 3 6 4
## [50761] 3 2 3 3 6 4 4 3 2 4 6 3 1 6 3 1 3 5 1 6 3 6 3 1 4 4 3 6 6 5 3 2 6 1 3 3
## [50797] 2 3 3 4 3 4 6 3 4 3 4 4 4 3 4 4 3 6 3 3 2 4 1 3 6 3 3 1 2 3 3 2 3 2 5 4
## [50833] 1 3 4 4 3 6 2 2 6 3 6 4 3 1 4 4 3 3 6 3 1 2 4 2 3 1 1 6 6 3 3 6 5 6 5 2
## [50869] 4 2 2 6 3 3 6 3 2 2 6 4 1 6 6 3 5 4 3 3 6 2 3 4 1 3 6 4 6 3 3 6 2 3 3 3
## [50905] 6 2 3 3 4 2 4 4 4 2 3 2 3 3 2 3 6 1 2 2 2 2 2 6 4 3 4 4 4 2 3 2 4 2 1 6
## [50941] 3 4 3 4 2 4 1 4 6 1 1 6 6 4 3 4 5 3 3 3 1 3 3 2 3 6 4 3 3 6 5 6 3 1 3 4
## [50977] 3 3 3 4 3 3 2 1 4 3 3 6 5 6 3 4 2 1 2 2 6 4 4 3 4 3 4 3 4 3 6 5 6 6 5 1
## [51013] 2 1 5 2 5 6 2 3 3 3 3 2 3 2 1 6 3 3 6 2 2 4 3 3 4 3 6 2 4 4 4 6 3 3 3 3
## [51049] 4 2 3 3 4 3 6 1 6 1 3 4 2 4 2 2 3 3 2 4 6 5 6 2 3 1 3 6 4 5 4 2 4 4 6 6
## [51085] 6 2 4 6 1 2 2 3 6 1 4 2 3 2 3 3 2 3 4 6 3 1 2 5 3 3 2 1 1 1 6 3 3 3 3 3
## [51121] 3 3 3 6 2 6 4 3 3 3 3 3 6 4 6 4 4 2 6 3 3 2 2 2 6 1 1 2 6 3 3 6 6 3 3 2
## [51157] 1 5 3 6 6 6 2 4 2 3 3 5 5 6 5 3 1 1 1 3 6 2 4 1 4 1 2 3 4 4 6 3 4 4 1 3
## [51193] 2 4 2 6 1 1 3 3 2 3 3 3 3 1 5 2 2 3 3 6 6 2 3 3 4 2 3 1 4 3 5 2 2 4 1 4
## [51229] 6 1 4 3 1 3 4 6 6 3 2 3 2 3 3 2 5 2 4 6 5 3 6 3 6 6 2 5 2 4 3 4 6 1 1 5
## [51265] 6 6 4 2 5 2 3 3 3 3 4 3 3 6 3 4 4 3 6 4 1 2 5 2 3 4 6 5 3 1 6 3 3 3 2 2
## [51301] 1 3 5 4 6 2 3 1 6 3 2 2 3 6 6 4 4 6 2 4 4 2 4 6 5 6 6 4 2 2 6 4 3 2 1 6
## [51337] 4 3 4 3 4 2 3 4 1 3 3 2 1 3 3 3 1 3 1 1 2 1 6 6 6 2 2 4 3 2 3 3 2 2 3 2
## [51373] 2 6 3 3 3 4 4 2 3 3 2 6 3 3 4 3 2 3 1 3 3 4 1 6 6 3 3 6 2 3 2 6 6 3 3 6
## [51409] 4 6 6 2 4 4 3 4 3 3 6 6 1 3 5 6 4 2 3 3 1 3 3 3 4 1 3 4 2 4 4 2 3 6 2 4
## [51445] 4 4 1 6 2 4 3 4 3 5 4 6 4 3 6 2 3 4 3 3 5 3 3 6 3 1 2 6 3 6 5 4 2 3 1 6
## [51481] 4 5 5 3 2 2 5 3 3 2 6 3 4 3 3 2 3 2 2 3 3 4 3 3 2 1 6 4 6 6 2 4 3 3 4 2
## [51517] 3 6 2 4 2 2 2 4 2 2 4 3 3 1 4 6 3 1 3 3 2 6 3 6 3 3 1 5 4 3 4 1 2 3 3 3
## [51553] 5 6 2 2 2 4 6 2 6 3 6 3 3 1 1 3 4 5 4 4 3 3 3 2 2 5 5 2 6 5 2 3 3 6 2 1
## [51589] 6 5 6 3 1 1 2 4 2 6 5 5 1 6 4 3 4 6 4 2 3 3 3 4 3 3 2 3 2 2 3 5 3 4 3 3
## [51625] 3 1 4 4 3 1 4 6 3 3 3 4 6 6 6 1 3 3 2 4 4 3 3 6 3 1 5 6 3 3 2 3 2 4 3 4
## [51661] 4 2 4 6 3 4 6 2 1 5 2 6 2 3 6 3 3 2 6 3 1 6 6 3 4 6 3 5 1 3 3 2 2 1 6 6
## [51697] 2 3 1 6 6 6 6 1 3 2 3 3 4 6 5 4 6 3 2 6 4 6 4 3 6 1 2 6 6 4 4 3 5 1 3 3
## [51733] 4 2 6 1 6 3 6 3 3 2 4 6 4 2 3 4 4 2 4 2 6 6 3 2 3 2 4 2 4 3 3 1 6 4 3 1
## [51769] 3 1 1 4 5 2 3 3 1 4 3 4 4 3 2 3 2 6 6 3 1 3 4 3 2 2 3 4 3 3 5 6 6 2 4 1
## [51805] 4 3 3 2 3 3 3 2 3 3 5 3 3 6 1 4 3 3 6 6 6 1 6 4 3 1 3 6 3 2 3 5 4 6 1 4
## [51841] 4 6 3 6 3 2 3 3 6 5 3 2 4 3 3 4 3 3 4 3 3 3 4 3 6 6 6 6 1 6 1 5 3 4 6 4
## [51877] 1 5 1 4 1 4 4 5 3 4 6 4 3 2 4 4 3 2 6 2 6 4 3 6 2 2 2 2 6 3 4 2 3 1 1 1
## [51913] 3 3 2 2 6 6 2 3 2 2 2 6 3 2 4 4 3 4 3 2 3 3 2 6 3 2 3 2 3 2 4 6 3 3 3 6
## [51949] 2 3 4 2 6 1 4 3 3 4 6 4 2 6 1 4 4 4 6 3 2 2 6 2 6 4 2 5 2 2 3 3 4 6 5 3
## [51985] 6 2 6 4 3 3 4 3 3 1 2 2 6 5 3 3 4 1 3 2 3 4 2 3 6 3 6 4 2 3 3 3 4 3 2 2
## [52021] 1 1 3 3 4 3 3 3 6 6 3 3 3 1 6 2 1 4 2 4 4 4 4 3 4 5 4 1 4 5 3 4 6 3 3 1
## [52057] 3 2 6 4 6 6 2 6 3 2 2 2 4 4 3 4 2 5 3 6 4 3 6 2 6 3 3 5 6 6 4 4 6 3 4 3
## [52093] 6 4 3 3 6 6 3 4 3 2 1 6 4 1 1 2 4 4 2 2 6 4 6 6 1 4 1 6 3 3 2 6 6 2 6 3
## [52129] 3 3 3 2 3 2 6 5 6 6 1 4 3 3 4 6 4 5 2 3 6 2 2 6 1 4 6 4 3 3 6 1 6 3 5 6
## [52165] 3 1 6 1 1 2 6 1 5 5 6 2 1 4 2 3 4 6 2 3 2 2 1 3 3 2 4 6 2 4 6 4 6 3 2 5
## [52201] 3 5 4 3 3 3 6 3 3 6 4 3 3 3 2 3 3 2 4 3 3 3 3 6 3 3 6 4 2 4 2 6 6 6 1 2
## [52237] 2 6 6 1 3 1 4 3 6 6 4 2 1 1 4 6 4 1 3 5 3 6 6 4 3 3 3 3 2 6 2 3 6 2 1 3
## [52273] 3 4 2 3 4 6 3 2 2 1 2 6 3 6 6 2 3 3 6 2 6 4 4 1 4 4 1 3 4 5 1 4 6 1 2 3
## [52309] 2 3 3 3 2 4 5 6 1 4 6 3 6 2 2 6 5 2 6 3 2 6 2 3 3 4 2 4 3 2 6 3 3 4 4 3
## [52345] 6 3 6 3 3 3 2 4 3 5 1 2 4 2 5 4 3 3 3 1 3 5 3 3 4 3 2 4 4 3 6 1 2 1 3 4
## [52381] 4 5 3 1 2 6 3 3 2 1 6 1 2 3 3 6 6 6 1 4 4 5 4 3 2 3 6 6 6 2 2 1 6 6 4 6
## [52417] 4 6 4 4 1 3 6 3 5 3 2 4 3 2 6 1 5 1 3 6 5 3 5 6 1 4 5 4 5 3 6 3 2 2 6 4
## [52453] 4 3 2 2 3 2 1 4 3 3 6 2 4 3 3 3 4 4 3 4 3 3 6 6 2 4 6 3 4 4 2 6 3 3 6 6
## [52489] 1 2 4 6 6 6 6 1 3 6 2 3 2 3 3 2 1 3 3 4 6 4 3 2 2 3 2 3 2 3 3 4 5 3 3 2
## [52525] 2 2 6 1 1 4 2 4 6 4 6 3 6 6 4 4 2 1 2 6 5 3 6 3 4 6 3 6 3 1 3 4 3 3 4 6
## [52561] 6 6 4 1 3 4 5 6 1 3 4 6 3 2 6 4 3 3 3 5 6 6 2 2 4 6 3 6 1 2 3 3 4 4 6 6
## [52597] 3 2 1 6 3 3 4 1 5 6 4 4 3 1 6 2 4 4 6 2 6 4 3 3 6 4 3 6 1 6 3 3 4 5 3 4
## [52633] 3 6 3 3 2 3 3 1 4 2 4 1 6 1 1 4 3 4 3 3 3 4 2 6 2 3 4 2 1 3 5 4 3 3 6 3
## [52669] 6 2 3 3 5 3 4 5 5 4 4 3 2 3 6 6 2 4 3 3 6 5 6 3 3 5 2 2 3 2 5 6 4 5 6 1
## [52705] 3 4 6 4 5 6 2 6 1 2 3 3 2 6 2 4 2 6 4 6 3 1 2 3 1 1 1 2 6 4 2 3 6 1 3 4
## [52741] 6 2 3 2 5 2 2 3 2 6 4 4 3 4 6 6 3 4 1 3 6 3 5 6 3 6 4 2 4 4 6 4 3 4 3 3
## [52777] 6 3 4 6 3 6 6 2 3 3 4 1 2 3 4 1 6 6 4 4 4 6 1 6 2 2 3 4 3 3 3 3 6 6 3 3
## [52813] 4 6 1 3 2 2 4 4 4 2 3 1 3 5 6 6 6 3 4 2 6 3 3 3 4 2 3 3 2 6 2 5 4 4 1 2
## [52849] 1 4 3 3 5 1 6 1 2 3 3 2 4 6 3 3 6 6 2 2 3 3 2 6 6 2 2 6 3 2 2 3 6 3 3 2
## [52885] 3 4 5 1 6 1 6 2 2 6 4 4 3 3 4 6 1 4 3 6 5 4 3 2 4 1 2 6 6 2 3 1 6 1 4 3
## [52921] 2 4 2 6 4 3 2 1 3 2 4 2 3 4 6 6 4 5 6 2 4 3 3 4 5 4 3 2 3 3 4 6 3 3 6 6
## [52957] 6 3 3 3 3 1 2 3 4 4 2 5 4 3 4 1 1 1 4 5 4 3 2 1 4 2 4 1 4 3 2 3 3 3 2 3
## [52993] 4 2 4 3 5 3 2 4 2 1 3 2 3 2 6 2 3 3 6 6 6 6 6 1 3 2 4 3 2 4 1 1 3 3 4 2
## [53029] 2 3 3 3 6 2 2 2 4 5 2 4 4 2 3 4 4 4 1 3 4 2 4 3 2 6 2 3 6 3 5 2 2 4 2 5
## [53065] 1 5 3 6 2 1 1 6 2 1 4 1 3 6 4 2 3 2 1 6 5 4 4 1 2 2 3 3 3 1 4 6 6 3 4 3
## [53101] 6 3 3 3 1 2 6 3 1 3 3 6 2 1 4 5 4 6 4 4 3 4 1 3 3 6 3 6 3 3 1 2 2 4 1 3
## [53137] 6 3 3 1 6 3 4 4 4 2 3 3 6 6 3 3 4 3 6 4 6 3 4 2 3 6 2 4 2 3 6 3 5 3 4 6
## [53173] 3 6 6 3 6 5 2 2 4 4 3 4 6 2 2 4 3 2 6 4 4 5 3 4 3 6 4 1 5 2 6 6 3 3 3 3
## [53209] 2 1 6 3 3 4 3 3 6 3 3 3 4 4 6 6 6 6 3 5 4 4 3 3 2 1 6 2 3 4 6 3 3 6 4 6
## [53245] 2 1 3 1 4 6 2 3 3 6 1 1 1 4 4 5 2 2 5 1 4 6 1 4 2 3 4 2 2 6 3 3 6 4 3 3
## [53281] 3 6 6 3 6 3 3 3 3 3 3 6 4 3 3 6 4 2 6 6 4 6 6 6 6 2 2 1 3 6 1 6 2 2 4 2
## [53317] 4 5 6 6 4 4 3 3 6 6 6 3 1 3 5 2 2 3 2 2 1 3 3 2 3 4 3 4 5 1 5 3 6 3 4 3
## [53353] 5 3 3 5 4 4 3 3 2 3 3 3 4 6 1 3 2 3 3 3 3 2 2 2 6 3 6 2 3 3 3 2 1 4 2 3
## [53389] 6 6 1 6 3 3 2 6 4 3 6 1 3 1 4 4 1 3 1 4 3 2 3 3 3 2 6 1 4 3 3 4 3 4 3 3
## [53425] 6 3 2 3 6 4 2 4 2 4 5 6 3 6 2 1 6 2 4 3 5 3 2 3 2 6 6 3 4 4 1 4 3 4 3 2
## [53461] 6 4 4 3 1 3 1 3 5 3 1 6 3 4 6 6 3 2 3 5 3 1 3 6 3 2 4 3 4 1 6 6 4 1 3 3
## [53497] 6 4 6 2 6 4 6 1 4 2 2 2 3 4 1 6 6 5 6 3 3 6 3 4 6 4 3 2 1 4 3 3 2 3 5 4
## [53533] 2 6 3 3 6 3 1 6 3 6 2 2 6 2 6 3 4 6 4 6 2 3 2 1 6 6 2 3 1 4 6 5 2 2 3 1
## [53569] 6 2 4 4 1 4 4 4 3 3 3 2 2 4 4 3 1 3 1 1 6 3 6 3 3 4 6 4 1 4 2 2 4 3 6 4
## [53605] 6 2 3 6 1 3 4 3 1 2 3 1 3 6 6 4 4 1 6 5 1 6 6 6 1 4 6 2 4 2 3 4 6 3 4 3
## [53641] 3 1 3 4 6 2 6 3 3 4 4 6 5 5 1 4 1 1 6 1 5 4 3 2 3 2 6 2 2 2 3 2 6 2 6 6
## [53677] 4 6 3 1 4 2 5 3 1 3 6 3 6 2 4 1 2 4 6 3 2 4 6 2 5 4 4 3 6 2 3 6 4 1 1 1
## [53713] 3 3 3 4 2 3 2 3 6 2 4 6 6 4 6 3 3 4 3 4 1 3 5 2 4 2 4 3 5 3 4 1 3 4 3 4
## [53749] 3 1 5 2 3 3 4 2 3 4 1 3 3 3 4 5 6 2 4 6 1 4 3 3 3 3 2 4 2 4 3 4 4 1 4 6
## [53785] 4 6 6 6 1 4 3 4 3 1 1 2 3 4 1 4 4 5 2 3 4 3 6 3 6 3 3 3 3 1 3 4 6 3 5 6
## [53821] 6 6 3 3 3 6 3 3 2 2 1 6 6 3 6 6 4 4 3 6 6 3 4 3 2 3 2 4 2 3 6 2 4 3 5 6
## [53857] 1 1 6 5 1 4 2 4 4 1 6 4 4 3 1 6 5 6 3 3 6 3 6 4 3 2 6 5 3 6 1 2 3 6 6 3
## [53893] 2 6 2 3 3 6 2 4 2 6 4 3 4 3 3 3 2 6 6 4 5 2 6 3 6 3 3 4 3 6 6 5 1 3 6 4
## [53929] 2 3 4 1 1 4 2 1 4 3 1 1 3 6 3 3 4 3 3 3 3 4 3 3 2 2 2 1 3 5 2 6 6 2 3 4
## [53965] 5 6 4 3 5 2 5 3 4 2 3 2 2 3 3 2 1 3 1 2 2 4 4 3 2 3 3 4 3 4 6 1 4 5 3 4
## [54001] 5 2 1 4 6 3 3 2 2 3 3 4 4 2 6 1 2 3 4 1 3 2 3 4 3 3 2 3 2 2 3 2 6 6 3 1
## [54037] 3 3 4 3 2 3 6 3 3 5 4 4 3 3 6 2 6 1 2 2 3 2 3 4 4 3 5 2 6 2 1 5 1 6 6 5
## [54073] 6 3 4 3 3 3 3 1 6 4 2 3 6 3 2 1 6 4 1 2 1 2 6 3 3 1 4 4 2 3 1 6 3 3 5 4
## [54109] 1 1 5 4 3 6 2 3 4 3 4 3 6 1 3 3 2 6 3 3 3 4 1 3 4 4 6 4 3 3 6 6 6 1 6 1
## [54145] 6 3 3 3 6 3 4 2 4 4 1 6 3 2 3 3 6 1 6 1 3 2 3 3 6 4 6 3 2 2 2 6 6 6 3 4
## [54181] 4 4 6 4 2 3 3 2 3 1 2 4 4 1 3 6 2 3 3 6 5 3 1 4 4 6 3 1 4 1 3 3 3 3 6 4
## [54217] 3 2 2 2 3 3 3 3 6 3 4 1 3 3 5 6 1 4 6 3 6 6 4 4 6 4 3 3 4 3 6 6 3 4 3 3
## [54253] 2 1 3 3 2 3 2 6 2 2 3 3 1 3 3 1 6 3 2 1 2 2 5 4 6 3 6 3 2 6 1 6 3 2 4 3
## [54289] 2 5 4 6 6 3 3 6 3 4 2 2 4 3 4 4 6 6 3 4 1 3 3 4 6 1 6 2 2 3 6 3 2 4 6 3
## [54325] 2 1 3 3 2 3 4 3 3 2 2 3 3 4 6 4 1 3 4 1 3 3 3 3 3 5 4 1 5 4 6 3 2 4 3 3
## [54361] 6 3 6 6 2 3 2 6 3 1 3 3 3 4 6 1 3 6 3 3 3 4 5 3 6 4 6 1 4 3 6 2 6 3 6 4
## [54397] 6 3 6 1 3 4 4 2 2 5 4 3 3 4 3 4 3 3 6 3 3 4 3 4 4 2 3 6 5 1 3 4 3 5 3 3
## [54433] 3 6 4 6 1 1 4 4 6 2 3 5 4 3 6 1 3 2 3 3 3 3 4 2 3 3 3 5 3 2 2 2 3 6 3 3
## [54469] 4 2 1 4 3 3 1 3 2 2 3 2 2 4 3 1 1 1 5 5 4 4 3 1 3 3 2 3 6 4 3 5 6 2 3 3
## [54505] 4 4 3 5 3 2 4 3 4 4 2 2 3 3 4 6 2 2 6 3 3 2 4 6 3 3 3 3 6 3 1 3 6 3 6 3
## [54541] 4 6 3 3 6 4 4 6 4 4 3 3 2 2 6 2 3 6 4 6 4 3 4 2 4 4 1 4 6 6 3 3 4 4 6 3
## [54577] 3 4 2 6 6 4 6 3 4 5 3 2 6 6 2 2 3 3 3 6 3 3 3 3 3 3 4 6 4 2 2 2 4 6 2 2
## [54613] 3 2 3 6 4 2 6 6 5 3 2 4 6 2 1 3 4 3 4 3 1 4 3 2 6 3 3 1 2 3 3 3 6 3 3 4
## [54649] 6 3 4 3 1 6 1 3 5 4 5 2 3 3 2 3 2 3 2 6 4 3 4 3 4 4 4 4 6 1 1 4 3 3 3 3
## [54685] 3 1 4 3 4 3 6 3 6 3 3 3 2 4 2 2 3 4 4 6 3 2 6 4 1 1 6 6 3 2 4 3 3 4 3 2
## [54721] 2 3 6 1 4 4 1 4 3 6 3 4 1 4 2 3 6 1 2 6 3 3 3 2 5 3 5 3 4 6 3 3 2 2 2 2
## [54757] 6 6 3 3 4 4 1 6 6 6 3 4 3 3 3 1 2 2 3 4 3 3 6 6 6 2 3 2 3 3 2 2 3 4 3 3
## [54793] 3 2 3 4 2 6 4 2 3 3 3 3 4 1 5 4 6 1 3 6 3 3 4 2 6 2 2 3 1 4 6 3 3 6 3 1
## [54829] 3 4 4 4 4 1 3 6 3 6 4 3 3 6 3 6 1 3 6 1 6 2 4 4 3 6 3 4 3 3 4 4 3 3 5 3
## [54865] 3 2 2 3 6 2 6 6 2 4 3 6 2 5 2 3 6 2 6 3 2 3 6 4 6 6 4 2 2 6 3 4 6 3 4 2
## [54901] 2 4 2 4 3 6 4 1 2 6 3 1 3 2 4 4 4 4 3 3 3 2 2 5 5 4 3 4 6 1 4 4 2 3 1 2
## [54937] 1 3 3 4 2 3 3 6 3 3 6 3 4 3 3 2 6 3 6 6 2 2 3 3 6 1 3 5 1 4 6 5 4 3 4 3
## [54973] 2 2 6 2 1 2 3 3 6 4 4 3 6 4 4 6 4 3 2 4 5 3 2 3 3 6 3 4 3 1 2 3 4 5 3 5
## [55009] 1 5 3 3 6 2 3 2 1 3 3 3 1 4 2 4 1 2 3 2 3 2 2 3 2 4 2 6 2 4 1 3 4 3 6 4
## [55045] 1 3 6 1 2 3 1 3 3 3 3 3 2 3 6 4 3 2 6 4 6 2 1 3 4 4 3 6 2 4 2 1 4 3 3 6
## [55081] 6 3 4 5 4 6 4 6 6 4 3 4 6 4 1 3 3 3 6 6 3 5 4 3 4 2 3 4 6 4 3 6 4 6 3 2
## [55117] 3 4 2 3 3 3 2 3 3 1 2 3 3 3 3 3 1 3 4 6 3 3 3 2 4 4 3 6 6 2 5 3 6 6 1 4
## [55153] 4 2 3 2 4 3 2 6 2 3 3 3 2 1 4 1 5 3 3 1 1 5 3 4 6 4 3 5 3 3 3 3 4 2 4 4
## [55189] 3 4 2 3 3 3 4 4 6 5 1 1 2 4 2 2 2 1 4 5 3 3 3 6 4 6 3 2 3 1 2 6 3 4 3 3
## [55225] 3 3 1 1 3 2 3 3 6 4 3 1 6 6 3 6 3 3 3 6 4 6 3 2 3 3 1 3 3 4 6 2 3 2 3 3
## [55261] 4 4 3 6 4 3 3 3 3 3 4 4 3 4 3 3 5 3 2 4 2 3 2 6 3 5 3 1 3 3 2 5 2 3 5 6
## [55297] 4 3 5 1 5 4 1 1 5 6 1 6 3 3 3 2 6 3 6 3 6 3 6 6 4 4 3 6 2 4 2 6 3 2 3 4
## [55333] 2 3 3 6 5 2 3 3 6 2 6 3 2 4 6 2 6 6 1 2 3 1 2 3 6 3 1 4 4 3 2 4 4 2 6 2
## [55369] 4 4 6 3 3 4 6 3 4 3 3 3 3 6 4 1 3 3 3 2 3 3 6 3 1 5 2 4 3 2 6 2 6 2 6 3
## [55405] 5 5 1 3 2 4 4 2 6 5 3 4 4 4 4 3 3 2 6 6 2 3 4 2 6 2 3 2 4 6 4 6 2 4 1 3
## [55441] 6 3 3 4 6 4 4 2 5 6 6 6 6 3 3 6 4 2 2 3 6 3 4 3 3 6 2 3 4 2 2 6 4 6 3 2
## [55477] 6 3 4 3 1 4 2 4 4 3 2 3 6 1 3 1 2 3 4 4 3 3 2 4 4 1 6 6 6 3 1 1 1 2 6 2
## [55513] 1 5 3 3 3 4 6 2 3 6 3 6 2 6 3 4 3 6 1 3 3 6 2 4 1 6 1 3 2 2 3 6 4 5 4 6
## [55549] 4 2 3 2 4 3 6 3 2 4 4 4 6 1 4 4 4 3 3 3 2 4 6 1 3 6 5 3 2 3 3 4 5 3 3 5
## [55585] 4 1 4 3 3 1 3 6 4 3 3 3 3 3 4 6 3 4 2 3 4 3 6 3 6 3 3 4 2 5 2 6 3 6 6 4
## [55621] 4 6 4 3 6 3 5 3 3 3 3 1 6 1 3 3 2 2 3 4 4 2 2 6 3 2 3 5 3 5 3 2 6 6 6 3
## [55657] 2 3 4 3 4 6 6 4 3 4 3 3 1 3 3 3 3 4 3 6 3 3 2 2 2 4 6 2 1 4 6 4 4 3 4 2
## [55693] 3 6 1 3 6 4 3 3 1 1 6 2 3 1 3 2 6 2 4 3 3 3 2 3 4 2 3 6 4 6 3 3 2 6 4 3
## [55729] 4 2 3 5 3 5 3 4 4 5 1 1 6 6 6 1 2 4 3 2 3 6 2 6 2 3 2 4 1 5 3 2 6 3 4 3
## [55765] 1 3 3 3 3 3 4 2 2 6 3 3 3 2 5 3 3 4 2 4 3 3 2 6 6 3 3 5 3 2 3 6 5 4 1 2
## [55801] 3 6 3 5 2 4 1 3 3 3 3 6 6 2 2 3 1 3 4 4 1 5 2 6 3 4 5 6 3 5 1 6 3 6 4 3
## [55837] 1 4 6 3 6 2 5 3 4 3 4 1 1 6 6 4 5 1 1 6 1 6 4 3 4 2 2 3 2 6 2 6 3 3 4 3
## [55873] 1 3 3 3 3 6 4 4 4 1 6 4 4 6 3 6 3 4 4 6 3 3 6 3 6 2 4 3 3 4 4 3 6 2 3 4
## [55909] 4 3 3 4 2 4 6 6 3 2 1 5 3 6 5 3 6 6 4 3 3 4 2 5 3 1 4 3 5 3 2 3 1 3 6 6
## [55945] 3 1 3 6 6 1 4 1 6 4 1 3 3 4 3 6 6 3 4 4 3 4 6 1 6 4 3 3 6 4 3 4 4 3 3 6
## [55981] 6 4 6 5 6 2 1 5 2 3 3 4 4 3 4 1 6 6 4 4 1 3 4 2 1 4 3 3 4 2 1 4 3 4 4 1
## [56017] 4 3 2 4 2 2 2 2 2 3 2 4 5 3 2 3 6 2 3 3 4 6 5 2 3 3 2 6 4 1 6 1 3 3 3 6
## [56053] 4 6 2 2 6 4 4 6 4 3 6 6 6 4 3 6 1 3 2 3 5 4 6 3 5 1 4 5 2 3 4 1 2 6 3 2
## [56089] 2 4 4 3 3 3 6 4 1 4 2 2 2 3 4 3 3 3 3 6 6 2 3 6 2 6 2 6 1 1 6 2 3 1 4 4
## [56125] 3 6 6 6 1 4 6 6 3 3 3 6 6 1 3 2 2 3 3 6 2 4 1 3 1 6 6 2 4 2 1 3 3 3 5 3
## [56161] 2 3 2 5 2 4 2 6 6 3 3 4 2 2 3 3 6 4 6 1 4 3 3 4 2 4 6 4 4 4 4 3 6 5 6 4
## [56197] 3 4 3 3 1 6 6 3 6 6 1 6 6 1 6 6 3 2 1 6 4 3 2 6 5 3 4 5 2 3 4 6 3 6 2 6
## [56233] 1 6 4 4 6 6 3 2 3 1 4 6 4 5 6 2 5 5 2 3 1 3 4 1 2 6 3 6 6 3 3 5 6 2 3 4
## [56269] 6 3 3 6 3 3 3 4 5 4 6 6 5 6 6 6 3 4 3 6 3 2 3 1 3 3 1 3 2 4 2 3 2 2 4 3
## [56305] 6 6 1 3 3 2 4 3 6 1 2 3 2 3 3 6 2 2 1 3 3 3 6 1 5 4 3 3 2 2 2 3 6 3 1 2
## [56341] 4 1 4 2 2 3 3 3 6 3 3 6 3 5 6 6 2 2 2 6 4 1 3 3 3 5 3 5 3 2 6 6 4 5 4 1
## [56377] 6 2 3 3 1 6 3 3 2 6 3 3 4 3 3 3 3 4 2 4 6 3 4 3 5 3 3 5 6 1 3 6 5 4 6 1
## [56413] 1 5 1 4 4 3 3 2 2 3 5 2 3 6 2 6 3 6 4 3 6 3 3 3 4 6 3 6 4 5 6 6 1 4 4 3
## [56449] 2 2 2 2 4 3 3 5 3 4 6 3 4 3 3 2 3 4 6 3 1 1 6 5 3 6 2 2 6 2 6 4 1 6 4 3
## [56485] 4 4 4 5 4 6 6 2 4 3 6 2 6 6 2 4 5 4 2 3 6 3 3 6 2 4 1 3 2 4 3 2 2 2 3 4
## [56521] 6 4 1 2 3 3 6 3 2 2 3 5 3 3 3 4 3 1 3 6 6 3 3 4 6 2 3 2 3 3 4 6 6 1 1 4
## [56557] 4 2 5 2 4 6 3 4 6 3 6 3 4 6 6 4 1 5 3 3 6 6 2 2 3 6 6 2 2 2 5 3 3 3 6 2
## [56593] 2 6 6 6 2 2 1 2 1 3 6 3 6 6 3 4 4 6 3 3 6 3 6 3 6 3 3 4 5 3 5 4 4 4 3 6
## [56629] 2 3 6 3 6 1 6 1 2 6 6 2 6 3 6 5 4 6 3 3 2 6 3 3 4 3 3 3 3 4 4 1 3 6 2 1
## [56665] 3 4 1 2 1 3 3 5 5 2 3 1 2 2 3 3 6 3 3 3 4 2 2 2 4 3 6 2 6 2 3 1 6 1 4 1
## [56701] 1 5 2 3 3 3 6 3 6 3 6 1 2 3 3 2 2 4 1 4 4 4 3 4 2 2 2 4 3 4 4 3 3 6 6 3
## [56737] 1 3 3 3 2 2 2 5 6 1 6 1 6 3 3 6 4 4 3 4 6 3 1 3 6 3 6 6 5 3 4 3 3 3 3 3
## [56773] 2 4 4 3 6 3 1 6 1 4 3 4 3 2 6 4 3 2 6 3 2 6 1 3 6 6 6 3 5 6 2 2 6 6 3 1
## [56809] 3 4 3 3 2 2 3 5 2 2 6 6 3 3 3 3 3 2 3 6 6 1 6 3 6 6 4 1 6 6 4 4 3 1 4 1
## [56845] 3 3 6 2 2 2 3 2 3 6 6 6 3 6 3 6 1 3 2 3 4 3 5 6 6 3 3 6 3 3 2 6 3 6 4 4
## [56881] 4 4 5 3 2 5 4 3 4 4 1 3 4 1 6 1 4 4 3 4 2 1 4 1 4 4 6 4 3 3 4 2 2 4 2 3
## [56917] 4 1 3 6 5 2 6 6 6 1 1 6 3 4 2 3 6 3 3 6 4 1 2 3 6 6 5 5 4 4 3 3 6 6 2 3
## [56953] 3 3 3 6 2 3 6 3 6 5 2 3 4 3 3 4 6 6 4 3 3 2 3 1 5 1 5 5 3 5 4 3 2 6 3 2
## [56989] 2 4 3 4 6 3 6 1 1 3 3 6 5 2 2 2 4 6 4 6 3 3 3 4 3 6 6 6 6 6 4 4 3 3 3 2
## [57025] 6 2 4 4 6 2 4 4 3 1 3 3 3 2 1 6 6 3 4 4 6 6 2 6 3 3 4 1 6 3 2 4 4 3 3 2
## [57061] 6 6 2 6 4 1 3 6 3 5 6 3 3 4 4 6 4 3 6 3 3 6 3 6 4 5 3 4 3 2 3 6 6 6 3 4
## [57097] 2 2 1 3 3 3 4 3 6 4 2 4 6 4 2 1 4 3 3 3 3 4 3 4 1 6 3 6 3 6 3 3 3 6 2 2
## [57133] 3 3 2 3 6 4 2 3 3 3 3 3 2 4 3 1 3 3 3 1 3 4 3 3 1 4 2 3 6 6 2 3 4 2 3 3
## [57169] 4 3 3 6 2 4 6 3 5 6 3 1 3 3 4 3 3 2 3 6 1 3 4 5 5 2 4 3 3 6 4 2 3 2 3 1
## [57205] 3 3 1 3 2 4 1 3 1 3 3 6 2 4 1 3 2 4 5 4 1 1 1 4 3 4 5 6 4 1 3 3 2 6 6 2
## [57241] 3 3 4 2 6 4 3 4 4 3 3 5 2 6 3 4 3 2 3 1 3 2 4 1 1 2 4 6 6 4 4 4 4 2 2 4
## [57277] 2 1 1 1 4 3 6 4 6 6 3 6 3 4 5 6 6 6 3 4 3 3 3 6 4 3 4 3 4 5 2 4 3 3 3 3
## [57313] 3 5 2 5 3 1 4 2 2 5 3 2 4 4 6 6 4 6 3 3 3 5 3 3 2 3 3 3 3 3 3 6 4 3 6 6
## [57349] 4 6 3 4 6 4 4 5 1 2 1 3 4 1 3 6 5 2 6 2 2 3 5 2 5 5 3 6 6 4 3 4 3 3 4 2
## [57385] 3 3 2 3 4 4 2 1 4 3 2 6 1 3 6 3 3 3 6 1 6 3 4 3 4 6 2 2 4 3 3 6 3 2 3 2
## [57421] 4 6 2 4 1 1 6 3 3 2 3 3 4 6 4 3 4 6 2 6 6 6 5 4 4 5 3 3 5 3 1 3 3 3 2 1
## [57457] 6 3 2 3 5 3 6 6 4 6 4 3 2 2 3 2 3 3 3 6 1 6 3 5 3 4 3 4 3 4 4 5 6 4 3 3
## [57493] 3 6 4 2 5 2 4 2 2 3 3 6 3 6 1 2 2 2 2 1 2 2 6 3 3 1 4 3 2 3 4 2 3 1 4 1
## [57529] 6 6 1 3 3 4 6 1 3 4 5 5 4 5 2 6 3 6 3 1 4 6 2 4 4 3 3 6 4 1 6 4 6 2 6 3
## [57565] 3 2 5 2 3 3 3 6 4 4 3 6 6 4 3 3 3 6 3 4 6 3 1 6 6 6 3 2 4 3 1 2 3 3 3 6
## [57601] 3 3 4 3 3 4 4 2 1 6 6 2 2 2 6 6 3 4 3 4 6 3 6 6 2 2 6 1 6 1 3 1 1 1 2 2
## [57637] 6 6 4 3 4 4 1 6 6 3 1 6 3 3 6 1 3 4 2 3 3 3 4 4 1 3 2 4 2 4 3 4 6 5 4 3
## [57673] 3 1 3 4 3 2 3 1 3 1 3 3 4 3 4 3 6 1 3 4 3 1 2 2 5 6 3 3 6 6 3 2 6 4 1 3
## [57709] 3 5 2 3 3 2 6 3 3 3 6 6 2 1 3 3 2 3 4 3 4 3 4 2 6 3 3 6 4 5 3 1 3 3 1 2
## [57745] 3 3 3 2 4 4 3 2 5 2 3 6 3 3 6 4 3 1 3 3 6 5 4 1 3 3 6 4 6 3 1 3 3 6 4 3
## [57781] 6 6 1 3 2 3 4 3 2 3 6 5 5 3 2 1 1 5 6 2 4 3 6 6 3 4 3 6 5 2 6 2 4 3 1 4
## [57817] 3 4 6 1 3 4 3 2 6 4 6 1 3 2 6 2 4 6 3 3 3 1 6 2 5 1 4 3 3 3 3 2 2 2 3 4
## [57853] 5 6 4 2 2 3 4 2 2 6 4 3 4 2 1 1 4 4 3 4 3 3 6 3 2 4 4 6 4 4 3 4 2 2 6 2
## [57889] 3 4 6 6 2 6 3 3 3 3 4 2 4 2 5 2 6 3 6 1 3 3 6 4 6 3 6 2 3 4 3 3 6 6 3 1
## [57925] 3 4 3 2 2 4 2 6 1 3 6 3 2 2 3 4 2 3 2 6 6 1 3 4 3 3 2 3 3 4 6 2 2 2 4 3
## [57961] 4 6 4 4 3 2 6 3 6 3 6 3 5 1 3 4 3 6 1 6 3 6 3 5 3 2 4 4 6 6 2 2 3 3 6 4
## [57997] 3 4 6 2 2 6 3 3 3 3 5 6 2 3 3 6 3 4 1 1 1 3 6 1 3 3 4 1 4 4 3 6 6 4 6 5
## [58033] 1 5 1 6 1 1 5 3 3 4 3 6 1 2 6 3 4 3 4 3 1 6 1 3 2 2 2 3 3 2 6 6 6 3 3 3
## [58069] 6 4 3 2 6 3 5 4 4 6 3 2 4 3 3 3 3 4 3 2 6 4 5 5 6 5 3 3 6 4 4 3 3 2 2 2
## [58105] 3 4 3 5 4 1 2 2 4 4 3 2 3 3 3 6 2 3 6 6 4 2 3 4 4 6 4 4 3 5 1 4 3 3 3 3
## [58141] 2 4 3 2 3 3 3 4 3 6 6 1 3 1 4 4 4 3 2 1 5 3 3 3 1 3 2 2 3 3 4 3 1 6 6 6
## [58177] 1 4 6 3 3 3 6 3 3 3 6 2 2 2 3 3 2 2 4 2 3 6 3 1 6 2 3 3 2 3 6 4 2 3 3 5
## [58213] 2 4 2 3 3 3 3 3 2 3 4 2 4 5 5 4 4 4 6 3 6 6 4 6 4 2 6 4 1 4 2 3 3 4 2 6
## [58249] 6 6 4 6 6 3 4 4 3 4 3 4 4 6 5 5 2 3 5 3 1 6 2 6 1 4 2 6 4 1 4 3 3 2 5 3
## [58285] 3 5 3 2 3 3 1 2 3 4 6 6 2 3 2 3 3 3 2 2 3 3 6 2 3 4 6 4 3 6 3 6 6 3 2 6
## [58321] 3 2 3 3 4 2 3 4 2 2 3 6 1 2 3 3 4 4 2 3 3 6 3 2 4 1 4 6 6 2 3 3 5 1 6 2
## [58357] 4 4 6 1 2 3 2 4 1 2 4 4 1 2 3 3 6 3 6 3 4 2 3 3 4 3 2 4 3 6 3 6 5 3 1 3
## [58393] 3 3 6 3 4 3 1 2 1 6 3 5 3 1 2 5 5 3 4 6 2 3 6 2 4 3 2 2 3 3 3 3 4 3 2 4
## [58429] 4 2 3 3 2 3 3 3 2 4 5 6 4 6 6 6 6 1 3 4 3 5 1 1 3 4 6 6 4 6 6 3 2 3 3 3
## [58465] 1 3 6 3 3 2 4 3 3 3 3 2 3 2 3 1 6 6 6 3 6 6 3 3 1 3 3 5 5 4 3 1 3 3 1 3
## [58501] 4 6 2 1 3 4 2 2 3 6 3 4 6 3 3 3 4 5 6 3 3 3 4 5 1 4 1 4 2 2 3 3 3 4 2 4
## [58537] 2 5 2 6 2 4 1 3 4 3 6 3 1 3 3 3 3 6 6 3 2 3 2 2 2 2 3 1 3 3 4 3 1 6 6 2
## [58573] 6 6 4 6 3 6 1 2 4 3 6 2 3 3 2 4 1 4 4 5 1 6 2 2 2 3 4 4 2 4 4 4 1 6 2 6
## [58609] 1 5 2 2 3 3 2 6 6 2 6 3 3 6 3 4 6 3 6 3 2 2 4 2 3 6 4 6 3 4 2 2 3 4 3 4
## [58645] 6 6 2 5 4 3 1 4 4 3 2 2 3 6 2 2 3 2 6 3 2 2 3 4 4 1 2 4 3 2 3 4 4 2 4 3
## [58681] 3 6 3 3 2 3 4 3 6 3 4 4 6 1 3 6 3 3 1 3 4 1 3 3 3 3 6 4 6 3 2 4 6 3 3 4
## [58717] 4 4 6 2 2 6 4 3 2 4 2 4 1 3 2 3 2 2 3 6 6 5 2 1 6 3 2 5 4 4 4 5 2 3 3 3
## [58753] 6 4 4 6 4 6 3 4 5 1 2 2 3 4 6 1 6 1 2 6 4 6 4 4 3 6 3 3 1 4 1 3 3 6 3 2
## [58789] 2 6 4 4 2 2 3 1 1 1 5 3 2 6 4 5 4 2 2 3 1 3 6 2 6 6 4 4 1 6 2 5 2 3 6 1
## [58825] 6 4 3 3 4 1 3 1 4 3 3 2 3 5 4 6 3 2 6 6 3 3 5 4 3 3 2 3 4 3 2 4 2 3 6 6
## [58861] 3 4 6 6 2 3 2 3 6 3 4 1 2 5 3 6 3 3 3 6 6 3 6 3 6 5 3 4 3 6 2 6 3 3 6 5
## [58897] 3 3 4 6 4 4 2 3 3 6 6 3 2 2 3 2 6 6 4 1 3 1 4 4 1 5 5 3 6 2 3 3 2 6 6 6
## [58933] 3 3 4 3 2 2 2 5 3 2 4 2 6 5 6 3 1 4 3 3 3 3 2 2 2 3 2 3 3 4 2 3 2 2 6 3
## [58969] 3 6 4 3 2 2 3 4 6 1 3 3 3 1 3 2 4 3 4 4 6 6 4 4 2 1 5 3 4 1 2 4 2 3 3 3
## [59005] 3 5 2 4 1 3 2 3 2 2 6 6 5 2 5 5 3 3 6 4 3 4 2 6 1 6 2 6 2 1 6 3 1 3 2 5
## [59041] 3 6 4 3 3 6 1 6 5 3 6 2 3 4 1 4 2 5 3 4 2 1 4 4 6 1 6 4 4 2 4 4 2 3 2 3
## [59077] 4 1 5 6 4 6 1 3 3 6 4 6 2 3 4 2 5 4 4 3 3 3 6 6 3 2 4 4 6 2 3 2 6 4 2 4
## [59113] 1 3 4 6 2 3 2 2 1 3 3 2 6 3 6 3 3 6 2 4 2 2 2 3 1 3 3 2 3 3 1 6 1 1 5 4
## [59149] 6 3 4 1 2 6 4 2 3 3 1 3 5 2 4 4 2 4 5 4 4 5 4 3 6 4 3 3 3 3 4 2 6 6 3 6
## [59185] 3 1 4 4 6 4 2 6 6 3 6 3 3 6 3 3 1 3 4 2 6 1 5 3 4 3 4 2 3 3 2 4 6 2 3 2
## [59221] 3 6 2 4 6 2 3 2 1 2 6 5 5 6 2 3 1 1 3 3 3 6 3 4 4 5 2 3 3 4 4 2 5 1 6 2
## [59257] 1 3 2 6 3 4 3 6 6 3 4 4 3 3 6 3 3 2 6 6 6 6 3 5 6 2 6 6 6 4 3 6 2 6 4 3
## [59293] 2 2 2 4 2 3 3 5 6 1 5 6 3 4 6 4 3 6 2 5 3 4 3 3 6 1 4 3 1 3 5 6 3 3 3 6
## [59329] 4 3 4 3 3 6 3 3 3 4 6 3 6 3 6 6 3 3 2 4 6 3 6 6 3 1 3 2 6 4 4 5 2 3 3 1
## [59365] 3 1 1 3 1 2 3 4 3 6 4 5 3 3 2 3 2 2 2 4 6 4 3 3 6 6 6 3 2 2 1 6 4 3 2 3
## [59401] 3 5 4 4 3 3 6 3 6 4 3 3 2 3 3 6 3 1 4 4 3 5 4 3 4 3 1 1 3 4 3 2 4 6 2 3
## [59437] 2 2 5 4 2 3 6 4 6 3 3 2 5 4 6 3 4 6 1 3 1 4 2 3 3 3 6 2 6 4 6 6 3 6 5 3
## [59473] 4 2 3 6 6 3 3 3 4 2 3 3 5 4 3 3 1 2 3 4 1 4 4 1 1 4 1 3 3 4 1 3 2 3 2 4
## [59509] 2 3 2 6 6 4 4 1 3 4 5 3 2 3 3 5 1 6 4 3 3 6 3 3 6 4 4 4 3 6 3 3 4 1 4 3
## [59545] 1 2 1 6 4 3 5 4 1 4 2 6 3 3 4 6 4 5 1 3 3 4 3 4 3 6 2 6 6 3 2 3 3 6 6 3
## [59581] 3 6 4 3 6 3 2 3 3 1 3 1 1 3 6 3 3 4 5 3 6 1 4 1 6 1 6 3 1 3 6 3 6 2 6 6
## [59617] 3 6 1 6 3 6 3 6 2 4 4 6 3 3 5 3 2 4 4 6 3 3 6 1 3 2 6 4 4 5 4 4 5 4 2 4
## [59653] 4 6 6 3 4 6 4 5 2 3 4 2 4 1 4 3 5 3 4 6 2 2 6 4 4 3 3 2 4 6 3 3 3 3 6 3
## [59689] 2 3 1 6 6 1 3 6 3 4 6 4 3 4 6 3 6 3 3 1 3 3 3 3 4 3 2 6 3 2 1 4 6 1 2 6
## [59725] 6 2 3 3 6 6 2 6 1 3 3 3 6 4 6 2 1 2 6 6 2 4 3 1 6 4 6 2 6 3 1 3 2 2 6 6
## [59761] 3 3 4 5 6 3 3 3 3 3 2 4 6 3 6 2 4 3 1 3 1 3 3 6 6 6 3 4 4 3 3 4 5 4 3 3
## [59797] 4 4 3 2 6 2 2 1 4 1 3 6 6 5 1 3 2 6 4 2 2 6 4 2 2 6 6 4 1 6 2 3 3 6 4 4
## [59833] 3 6 5 6 6 6 3 6 4 3 6 3 3 6 2 1 3 4 4 6 6 2 6 3 4 3 4 3 3 2 4 3 3 2 1 4
## [59869] 6 6 3 4 6 4 6 4 4 3 3 2 4 1 4 3 3 2 3 2 3 3 1 6 1 6 6 6 1 5 3 6 5 3 6 4
## [59905] 6 2 5 5 2 1 3 2 3 3 4 2 3 3 6 3 3 6 2 3 3 5 1 3 6 3 1 3 4 2 6 2 4 3 3 3
## [59941] 6 2 2 4 6 2 3 1 4 2 4 4 3 2 3 2 3 2 3 4 2 3 3 3 5 2 4 4 6 4 4 1 1 6 6 4
## [59977] 3 5 3 1 3 4 1 4 4 3 3 4 3 2 6 3 6 3 3 3 4 6 6 6 6 1 6 3 3 6 3 4 3 6 4 5
## [60013] 2 4 4 3 6 6 2 3 4 1 4 1 2 6 2 6 3 3 5 2 3 6 1 6 2 2 2 2 6 3 6 2 4 6 1 4
## [60049] 5 6 4 5 2 5 4 3 3 2 3 2 6 6 2 6 3 5 3 1 3 2 1 3 6 6 1 4 6 3 3 2 3 3 6 2
## [60085] 3 6 2 3 3 6 3 4 6 4 4 2 1 3 6 6 3 6 3 1 4 4 6 4 5 4 6 4 4 6 3 4 3 2 2 2
## [60121] 6 4 3 3 6 4 3 6 5 2 4 4 4 5 3 4 6 2 1 4 2 2 3 3 3 3 4 3 4 1 4 1 1 4 3 4
## [60157] 2 3 5 1 5 3 3 4 4 3 2 4 6 3 3 2 6 6 1 1 6 6 3 4 1 3 3 3 4 1 1 4 1 4 1 4
## [60193] 6 6 3 5 2 4 2 3 2 3 3 2 4 6 2 5 6 2 3 3 5 6 4 6 6 4 1 1 3 1 3 3 2 3 3 3
## [60229] 2 3 3 2 6 3 6 2 6 4 2 4 3 2 6 3 4 2 6 4 6 6 3 4 6 1 6 6 3 4 4 6 6 4 1 3
## [60265] 1 4 4 2 6 6 3 5 4 4 3 5 6 1 5 6 6 5 2 2 4 6 3 1 3 3 3 5 3 3 1 4 5 2 5 3
## [60301] 3 3 4 2 2 3 3 4 5 2 4 4 1 6 3 3 5 4 6 1 6 6 6 6 1 2 4 3 6 5 2 3 3 3 1 2
## [60337] 5 6 6 1 3 6 2 6 3 3 4 3 2 1 2 4 1 4 3 3 4 6 6 3 1 4 2 4 4 5 3 2 5 2 2 3
## [60373] 3 6 3 6 3 3 4 2 4 1 6 5 2 1 6 1 4 2 2 4 1 4 1 6 3 6 4 4 4 2 3 1 3 3 3 2
## [60409] 6 2 3 5 2 6 2 6 6 3 3 3 3 3 4 6 1 6 2 5 4 2 6 5 2 3 5 3 3 3 6 3 6 4 2 4
## [60445] 4 5 3 4 6 2 4 3 6 3 4 3 4 1 6 5 4 4 4 6 4 1 1 1 1 4 4 4 3 3 4 4 3 1 3 3
## [60481] 4 6 2 3 2 2 3 6 3 6 1 2 1 4 6 3 3 1 1 2 1 3 3 5 1 3 6 2 2 6 6 1 3 3 5 3
## [60517] 2 3 3 6 4 4 3 4 3 4 2 1 4 3 2 6 3 4 6 3 2 4 2 5 4 6 3 3 4 4 4 3 3 3 1 2
## [60553] 6 6 3 5 3 5 3 3 3 4 4 1 1 2 2 2 1 1 3 6 3 3 1 3 6 6 5 3 4 5 3 4 3 1 2 3
## [60589] 3 4 6 5 4 3 3 3 6 4 5 5 5 5 4 6 5 1 1 2 1 4 3 3 6 3 3 6 6 4 4 3 5 2 2 2
## [60625] 3 3 3 4 2 2 5 3 4 3 4 3 1 4 6 2 3 6 1 2 2 6 2 4 3 4 6 4 4 2 4 3 2 6 6 2
## [60661] 1 3 2 2 6 1 3 4 1 4 6 6 3 4 3 2 4 2 4 2 3 3 3 4 6 6 1 1 2 4 2 3 2 5 1 4
## [60697] 3 2 3 4 3 3 6 2 6 2 3 6 4 2 1 6 3 5 3 3 3 6 2 1 6 1 3 4 3 1 2 2 5 3 3 3
## [60733] 1 3 6 3 3 2 1 4 1 3 6 1 6 6 5 6 3 4 3 3 6 3 6 4 2 3 2 2 6 6 4 1 5 3 3 3
## [60769] 3 3 6 6 3 4 4 2 3 3 6 2 3 6 4 2 3 1 6 4 2 1 3 4 2 3 6 1 3 1 4 6 5 3 5 2
## [60805] 4 2 4 6 4 6 2 6 3 3 3 2 4 2 5 4 5 4 2 6 4 3 3 4 3 6 5 3 6 6 2 3 2 1 6 2
## [60841] 3 3 3 3 3 5 3 4 6 3 4 2 2 3 6 6 2 3 3 3 3 4 4 5 5 6 1 2 3 1 6 2 3 6 6 3
## [60877] 6 1 2 4 2 1 4 1 3 2 3 3 6 2 3 3 6 2 4 6 3 2 3 3 3 4 4 2 6 3 2 6 6 2 3 3
## [60913] 2 6 1 3 1 6 6 6 4 3 1 6 2 5 4 6 3 3 4 1 3 3 3 2 3 4 1 6 3 3 4 3 4 4 2 4
## [60949] 3 3 4 1 3 1 1 2 6 4 1 3 3 1 4 3 6 4 6 4 2 2 1 2 2 3 6 1 2 1 5 3 2 3 4 1
## [60985] 3 5 2 6 3 2 3 5 3 2 3 2 1 2 1 1 4 1 1 1 4 4 4 4 4 6 2 1 3 6 2 6 3 6 6 3
## [61021] 6 3 6 4 2 1 3 1 2 2 3 6 6 3 6 4 6 3 3 2 1 6 4 3 3 5 1 6 5 1 3 3 4 3 3 6
## [61057] 4 2 3 1 5 4 3 6 3 3 6 3 5 2 2 4 3 6 6 4 1 6 3 6 3 3 3 3 1 1 4 3 3 6 6 3
## [61093] 2 6 2 3 2 3 6 2 5 4 3 6 3 2 3 3 6 4 6 1 3 5 3 6 3 6 3 3 1 1 4 1 4 4 2 4
## [61129] 3 2 3 4 3 1 3 6 4 1 4 4 6 1 1 2 6 1 1 1 5 4 1 4 3 3 2 3 2 2 6 3 3 3 3 6
## [61165] 3 4 2 3 3 4 3 6 4 4 3 4 6 1 2 6 3 2 4 1 6 3 2 3 3 2 4 2 6 6 4 3 3 4 6 6
## [61201] 6 2 3 1 3 3 3 3 6 6 2 4 4 6 3 4 3 3 4 2 3 1 2 3 4 2 4 1 1 3 2 3 4 3 4 6
## [61237] 3 3 6 3 4 3 3 6 3 2 2 2 1 4 6 4 5 3 4 3 4 3 3 3 6 4 4 1 6 2 6 4 2 2 2 3
## [61273] 3 4 2 2 5 4 1 3 1 6 6 3 2 6 3 4 1 6 1 1 3 4 1 2 6 6 2 1 3 3 2 4 2 3 6 3
## [61309] 1 1 3 4 4 3 3 3 6 4 6 2 2 4 3 6 1 2 4 3 2 3 3 3 3 3 3 3 4 3 4 2 2 2 4 6
## [61345] 4 2 2 6 4 3 6 6 1 3 1 4 6 4 2 5 5 3 3 1 6 1 3 3 3 1 6 4 6 3 5 6 6 1 1 6
## [61381] 1 2 4 4 6 3 6 4 3 4 6 3 4 1 2 3 6 6 2 6 2 3 3 2 2 4 6 2 2 5 4 6 5 3 6 3
## [61417] 4 6 1 5 2 1 5 3 4 3 1 6 1 4 4 6 3 2 5 6 3 4 1 6 2 2 3 4 6 1 3 6 3 5 4 2
## [61453] 1 3 6 2 3 1 3 3 6 1 3 6 3 1 3 4 1 3 6 3 6 4 6 4 3 4 6 3 6 4 4 3 2 3 3 4
## [61489] 4 6 2 2 6 3 4 2 1 4 4 5 2 1 3 5 6 6 6 2 1 6 4 2 2 2 3 2 4 1 6 1 6 2 6 4
## [61525] 6 6 6 3 5 3 6 5 3 3 2 3 3 5 1 3 4 3 6 3 5 4 3 5 5 4 3 3 3 3 2 3 1 3 3 6
## [61561] 6 3 6 3 2 3 3 6 1 4 1 6 6 1 1 1 6 4 5 6 4 4 2 2 3 3 3 5 4 2 2 3 2 3 3 2
## [61597] 3 4 6 4 3 3 3 2 2 2 2 6 6 6 6 3 4 5 3 3 2 3 2 1 6 4 3 4 2 3 1 3 3 1 5 3
## [61633] 3 3 6 4 5 6 4 5 1 4 6 3 6 4 2 6 6 6 5 4 4 3 6 4 2 3 4 5 6 3 2 2 5 2 3 6
## [61669] 3 6 6 3 3 6 2 3 2 2 3 3 2 4 3 3 4 6 6 3 4 4 3 3 4 1 4 3 5 6 6 6 4 1 4 5
## [61705] 2 3 6 6 6 6 6 3 5 4 3 6 4 5 1 6 1 3 1 2 3 4 5 1 6 2 3 6 3 2 3 5 2 2 2 3
## [61741] 6 4 4 3 6 2 6 4 3 3 6 1 1 3 3 2 3 3 1 6 6 3 3 4 4 4 1 3 3 3 4 2 6 2 3 4
## [61777] 4 1 4 3 6 4 1 4 2 3 4 5 3 3 4 3 3 6 6 3 3 1 5 3 1 3 3 1 3 2 3 3 4 6 4 3
## [61813] 2 3 3 3 3 5 6 6 6 5 3 1 6 4 4 3 1 3 2 5 2 6 6 6 3 3 5 2 5 6 4 2 2 1 4 1
## [61849] 4 4 4 4 6 3 4 4 3 2 3 3 2 3 6 3 4 1 6 3 6 6 3 1 3 3 6 3 3 3 5 4 1 3 6 3
## [61885] 2 3 4 3 2 6 4 4 5 2 3 4 6 3 6 4 4 4 4 3 2 6 4 3 4 3 3 2 4 2 2 2 3 1 6 3
## [61921] 2 6 2 1 3 4 5 3 3 2 3 3 4 4 3 2 6 4 5 5 1 3 6 3 4 6 3 4 4 4 2 4 5 4 3 6
## [61957] 3 6 3 6 4 1 3 3 4 3 4 5 4 1 1 4 1 1 1 6 2 3 3 6 3 3 3 5 4 3 4 4 6 2 3 4
## [61993] 2 4 6 6 3 3 3 2 3 4 1 6 3 4 6 3 3 6 3 4 2 3 2 6 3 3 4 3 2 4 1 3 3 6 6 4
## [62029] 1 3 4 4 3 4 4 6 2 3 4 3 4 6 1 3 5 4 4 2 4 2 5 2 3 3 3 2 3 4 2 3 3 5 1 6
## [62065] 3 1 4 1 5 4 1 3 2 3 3 3 1 3 3 3 4 3 2 6 6 3 3 3 4 6 4 3 2 3 4 2 2 6 3 6
## [62101] 6 4 6 2 6 3 3 6 3 3 3 3 3 6 6 6 3 6 3 6 2 4 4 4 3 5 3 4 3 2 3 6 2 3 6 4
## [62137] 2 2 3 6 1 6 1 2 4 4 6 6 3 3 3 3 4 5 5 3 3 1 6 6 2 4 6 3 1 3 6 2 3 2 4 3
## [62173] 5 4 3 6 3 2 1 3 3 2 2 4 4 3 2 1 6 6 4 3 2 3 2 3 3 4 5 6 4 6 2 1 2 3 3 2
## [62209] 3 3 6 2 3 3 3 3 2 4 6 2 3 4 2 4 4 4 4 4 5 1 3 3 4 3 1 3 3 5 3 4 4 4 3 2
## [62245] 2 6 3 4 4 4 3 2 4 1 3 4 1 6 3 3 3 2 2 2 1 3 4 3 2 3 3 2 5 6 6 4 3 4 3 1
## [62281] 1 3 5 6 3 3 6 3 1 4 2 3 4 4 3 3 1 3 6 3 2 2 2 3 3 4 4 1 3 3 3 4 3 1 1 3
## [62317] 6 5 5 2 4 5 5 4 2 3 3 4 2 3 6 2 3 2 2 4 4 2 3 5 4 3 6 4 6 4 3 6 2 3 3 6
## [62353] 4 2 3 6 4 6 4 1 4 4 3 2 4 3 3 4 6 6 3 2 6 3 6 6 4 2 6 4 4 2 2 6 4 4 2 6
## [62389] 4 2 6 2 4 1 4 2 5 3 1 3 3 3 5 6 3 2 5 5 5 4 2 6 4 4 6 6 3 3 6 6 4 4 2 6
## [62425] 6 5 3 6 4 4 3 5 4 3 6 3 1 2 6 3 3 1 6 6 4 1 6 4 6 1 3 2 3 3 3 6 2 2 4 3
## [62461] 3 1 6 3 3 3 1 2 6 2 4 2 2 6 1 1 1 5 5 3 1 1 3 1 6 5 3 4 3 3 2 6 3 3 3 3
## [62497] 2 3 3 3 3 4 3 2 6 6 2 6 4 6 6 3 3 2 2 3 6 3 3 2 3 4 3 1 2 4 2 5 1 4 2 1
## [62533] 4 3 1 1 5 6 4 6 4 2 3 3 3 2 3 3 2 6 4 4 5 3 3 6 4 3 4 5 4 3 6 3 2 5 1 4
## [62569] 3 6 4 3 3 6 3 4 5 6 3 3 6 6 4 3 2 2 1 3 1 3 6 5 1 2 3 4 2 3 6 6 3 5 3 6
## [62605] 2 2 2 6 6 3 6 4 4 1 6 3 4 4 2 4 2 2 6 2 3 2 3 4 3 3 2 4 3 3 4 6 3 3 3 4
## [62641] 1 1 3 4 3 6 4 3 6 4 6 4 4 3 2 4 2 4 3 3 2 2 3 2 6 5 4 1 5 6 2 3 3 6 6 3
## [62677] 4 3 4 6 1 3 6 3 3 1 2 2 1 5 2 6 2 3 6 4 4 3 2 3 4 2 2 3 1 6 1 6 1 6 1 3
## [62713] 5 4 4 1 2 3 3 5 1 6 4 3 3 6 3 1 4 1 2 1 2 1 4 5 4 4 2 3 3 2 2 3 2 3 4 1
## [62749] 5 3 2 2 3 4 4 2 3 3 6 3 3 6 2 3 3 2 2 4 3 4 3 4 6 4 6 1 6 6 6 3 2 3 4 1
## [62785] 6 2 6 4 6 3 6 3 3 4 2 3 2 2 2 3 3 6 6 2 6 2 1 1 6 2 4 3 6 4 3 6 5 2 4 4
## [62821] 2 5 2 4 4 4 3 3 1 5 6 2 1 4 4 3 3 3 3 4 2 3 3 4 4 3 1 2 6 3 3 4 3 3 6 3
## [62857] 2 3 6 1 3 4 6 3 3 3 3 6 6 1 3 4 4 4 6 3 2 2 4 6 6 4 5 1 3 4 3 4 3 1 2 4
## [62893] 6 2 6 5 1 4 3 1 3 6 3 3 2 2 1 1 2 4 1 6 1 1 6 1 6 2 4 1 6 2 2 2 3 6 2 3
## [62929] 4 6 2 6 6 3 4 2 1 3 2 4 2 3 3 4 2 4 2 2 1 3 4 1 2 6 4 6 3 4 6 4 3 3 6 2
## [62965] 3 4 2 3 1 4 4 4 3 1 3 6 3 1 4 5 6 3 4 4 2 3 4 2 2 2 5 2 3 4 4 6 6 3 6 5
## [63001] 1 4 2 3 4 5 3 1 6 1 5 3 4 2 2 2 3 2 2 6 4 3 3 4 6 4 4 3 6 3 2 4 4 4 3 2
## [63037] 2 2 2 4 3 5 3 1 2 1 1 1 3 2 3 1 4 2 3 3 4 2 1 3 2 6 1 4 3 3 1 6 1 3 4 3
## [63073] 6 3 1 4 3 6 2 4 2 2 6 2 4 6 3 4 1 3 5 3 3 3 3 4 3 4 3 2 2 3 1 2 3 3 1 3
## [63109] 4 4 3 6 4 3 4 3 3 4 1 5 6 4 3 1 2 6 6 4 6 6 4 2 2 1 1 2 6 6 2 3 3 3 3 2
## [63145] 2 2 3 3 4 6 2 1 2 4 4 4 5 6 6 1 3 6 1 4 6 4 5 3 3 2 6 3 3 4 2 2 6 1 6 2
## [63181] 4 4 3 2 6 4 3 2 3 3 4 6 2 3 4 2 6 4 3 2 6 6 4 1 4 2 4 1 3 4 4 2 3 3 1 3
## [63217] 1 4 3 6 2 2 5 6 3 4 3 3 6 6 6 3 4 4 2 2 3 3 5 2 6 3 4 2 3 3 4 3 1 1 2 5
## [63253] 3 4 3 2 2 5 6 6 5 1 3 2 1 2 6 4 3 6 5 4 4 6 6 4 3 6 6 3 6 4 4 3 6 3 3 3
## [63289] 6 6 2 3 2 5 1 3 1 2 4 3 4 1 5 1 4 2 4 3 3 4 2 3 1 2 4 1 2 4 3 4 2 2 3 1
## [63325] 3 2 6 3 6 4 3 1 5 2 4 6 3 6 2 2 2 4 3 2 3 2 3 5 5 4 3 2 3 4 4 3 5 4 3 3
## [63361] 2 2 2 4 3 3 4 1 4 3 3 3 3 2 6 3 3 3 6 6 3 1 5 6 4 3 1 3 6 3 6 3 3 3 2 5
## [63397] 4 1 4 6 3 3 6 3 1 3 4 4 6 2 3 2 4 6 5 3 3 3 4 2 3 1 4 5 2 1 4 4 3 3 3 2
## [63433] 6 4 1 1 6 6 4 4 3 6 4 2 1 5 2 2 3 1 3 3 6 2 3 6 3 4 3 6 6 6 6 2 4 3 4 2
## [63469] 1 1 6 4 3 6 2 6 6 1 2 5 1 4 6 4 6 3 3 3 3 2 2 6 4 3 3 3 2 6 3 3 1 4 2 4
## [63505] 4 6 2 4 3 3 4 3 4 3 2 3 6 6 6 4 4 4 6 3 1 3 3 6 4 4 3 6 3 3 5 4 6 6 3 4
## [63541] 5 3 2 2 6 3 2 2 6 4 5 2 3 4 4 4 2 5 3 3 6 4 3 3 2 5 1 5 3 1 5 1 4 4 6 1
## [63577] 2 1 3 3 3 4 2 6 3 3 3 4 6 3 3 6 3 3 2 2 2 3 3 4 6 6 3 3 2 6 6 6 6 2 3 2
## [63613] 4 3 3 3 2 4 3 4 3 4 4 3 3 3 2 3 2 3 6 2 3 6 4 5 2 3 4 6 2 5 2 3 4 6 3 2
## [63649] 4 6 5 3 5 3 2 1 4 4 3 2 3 1 2 6 1 6 6 3 6 3 2 3 3 6 5 3 3 6 1 3 3 6 4 6
## [63685] 2 6 2 4 4 3 3 4 2 4 4 3 5 6 3 4 4 1 2 3 5 6 3 4 6 3 3 4 6 3 6 4 6 6 3 6
## [63721] 3 3 6 3 3 6 6 6 6 2 3 3 6 5 3 2 2 4 6 3 2 4 3 3 3 4 2 2 3 6 2 2 2 2 3 4
## [63757] 4 3 2 1 2 4 5 3 2 6 4 3 2 1 1 2 3 3 3 6 1 4 2 3 6 2 3 2 3 3 2 3 2 6 2 2
## [63793] 3 2 6 2 4 1 3 5 5 2 3 3 3 4 5 4 2 2 2 2 3 3 6 3 3 5 3 6 1 6 3 2 5 4 3 4
## [63829] 3 6 2 1 2 4 3 4 5 4 4 4 1 3 2 6 6 3 6 4 6 2 1 6 2 3 3 4 4 3 3 2 2 3 5 2
## [63865] 5 2 3 6 2 2 2 6 3 4 2 2 3 3 6 2 6 3 3 3 2 2 3 6 3 1 3 1 6 3 4 6 1 2 2 2
## [63901] 2 3 6 2 4 6 3 6 1 4 2 5 4 2 2 3 1 1 5 1 4 2 2 6 3 4 1 3 4 3 2 3 2 3 6 3
## [63937] 6 2 2 3 4 3 4 1 6 6 3 4 4 6 6 6 2 3 2 4 1 3 6 4 1 1 4 1 2 6 6 6 3 3 3 6
## [63973] 1 4 2 3 3 3 3 4 3 2 4 3 3 2 3 3 4 6 1 2 3 5 6 4 4 3 2 4 3 3 4 1 3 3 3 4
## [64009] 2 3 6 4 3 1 1 3 2 6 3 4 6 3 4 6 2 2 2 3 3 5 2 6 5 4 3 2 6 3 6 3 3 6 3 2
## [64045] 4 1 3 4 3 6 1 2 3 6 6 3 6 4 5 6 6 3 6 6 3 3 4 6 6 6 2 3 6 5 4 6 4 1 6 4
## [64081] 5 2 1 1 2 6 4 4 1 4 4 4 6 3 3 3 2 6 2 3 6 3 1 3 3 3 3 2 6 6 2 6 4 4 4 6
## [64117] 3 6 4 5 4 6 2 2 5 6 3 4 2 3 1 1 4 3 4 4 3 6 4 4 3 6 3 1 3 6 2 3 1 6 6 4
## [64153] 1 2 1 2 6 4 5 1 2 3 3 3 3 3 4 2 2 6 3 4 3 4 4 4 3 4 3 3 4 3 4 2 6 5 6 6
## [64189] 3 6 6 3 6 3 6 5 1 6 4 3 1 3 3 1 3 1 1 2 4 6 3 3 2 3 3 4 6 3 3 3 3 2 6 3
## [64225] 3 1 2 4 3 3 3 2 2 2 4 6 6 3 4 3 3 3 4 4 3 3 4 2 6 5 2 1 2 4 1 3 6 2 3 6
## [64261] 4 3 3 1 1 4 6 1 6 6 3 1 1 4 3 5 6 3 3 5 4 2 3 3 2 4 3 3 3 2 4 1 1 2 3 3
## [64297] 6 3 6 4 1 3 2 6 3 4 1 1 3 3 4 2 3 3 3 1 4 2 4 6 3 1 1 4 1 1 3 5 3 3 6 6
## [64333] 6 4 6 3 4 3 3 6 5 5 1 2 1 5 3 3 2 6 3 4 1 4 3 4 2 4 6 2 6 2 3 3 3 3 3 3
## [64369] 2 4 4 2 2 3 4 2 2 6 6 5 3 2 3 3 2 1 3 2 2 3 6 3 3 3 3 6 3 4 1 2 2 4 5 2
## [64405] 3 3 2 3 6 2 4 6 6 4 3 3 4 3 2 2 3 6 3 4 2 4 6 4 3 3 6 3 6 3 6 2 2 3 3 5
## [64441] 3 3 1 3 6 2 3 3 3 4 3 4 2 2 1 5 1 4 2 4 1 6 6 3 3 1 1 1 5 1 4 6 6 3 3 2
## [64477] 1 2 3 3 3 2 2 2 3 1 3 4 6 4 3 3 5 3 1 2 6 2 1 4 6 2 3 2 4 2 6 6 4 5 1 2
## [64513] 3 1 3 1 1 6 6 6 5 4 3 4 3 5 3 6 3 4 2 3 1 6 2 3 6 3 3 3 3 2 6 2 3 1 6 4
## [64549] 6 2 5 2 6 2 4 5 6 6 6 6 3 3 6 4 4 2 4 3 2 2 3 4 5 3 3 6 6 2 5 5 3 3 2 2
## [64585] 3 3 6 4 3 3 3 3 3 3 3 4 6 4 3 2 2 4 2 3 3 2 6 6 6 3 5 3 6 2 2 4 2 4 6 6
## [64621] 6 3 3 1 3 4 3 5 6 4 6 3 4 6 3 3 4 6 6 3 4 4 5 4 3 3 3 2 2 2 3 2 5 4 3 6
## [64657] 2 3 4 5 6 3 4 6 4 4 6 1 2 3 3 3 2 1 6 2 3 1 6 2 6 2 3 1 2 4 3 6 2 6 4 2
## [64693] 5 6 6 6 2 5 3 6 4 4 3 6 6 2 6 3 6 4 2 2 3 4 6 3 4 6 6 4 6 6 6 6 6 4 1 4
## [64729] 6 2 3 1 3 6 6 6 3 3 2 6 5 6 3 1 5 5 3 3 2 2 3 1 2 4 5 4 4 6 3 4 1 1 2 3
## [64765] 2 3 4 2 3 3 1 2 4 3 1 3 4 3 4 3 3 3 1 3 6 6 1 2 3 6 6 3 2 3 2 2 2 5 5 3
## [64801] 4 4 1 2 2 4 6 2 6 6 3 3 4 4 1 5 6 1 3 3 3 1 4 4 5 4 1 6 3 3 2 6 6 3 1 3
## [64837] 3 4 3 3 6 4 6 3 2 3 5 5 2 3 4 3 6 3 3 3 1 3 3 2 2 3 3 3 6 3 3 3 4 6 4 2
## [64873] 3 3 2 1 4 3 4 5 1 4 4 2 2 2 4 3 6 2 2 3 3 2 6 6 6 4 5 4 4 2 6 4 3 3 3 3
## [64909] 3 3 3 4 2 3 3 3 1 3 2 4 6 4 6 3 6 6 3 1 4 3 5 3 3 3 6 3 6 3 6 2 3 3 3 3
## [64945] 3 6 2 6 1 6 2 2 1 4 4 4 4 1 4 6 3 1 1 5 4 6 1 3 4 3 3 3 3 3 4 2 6 3 6 1
## [64981] 3 4 4 1 1 4 1 2 1 4 4 2 1 6 4 4 1 1 3 3 6 4 3 3 2 4 3 2 1 2 6 2 4 4 2 3
## [65017] 6 1 3 2 4 4 3 1 4 4 3 2 2 4 1 2 3 5 4 5 6 2 6 3 3 2 6 2 1 1 4 5 4 2 6 3
## [65053] 2 4 6 3 6 3 1 5 3 6 1 4 2 1 2 3 4 6 4 4 6 6 3 3 4 4 3 3 6 3 6 4 6 4 6 3
## [65089] 5 5 4 6 4 2 3 1 5 6 2 4 3 3 6 1 2 3 6 2 2 2 3 4 4 1 6 1 6 5 5 4 3 3 3 3
## [65125] 4 4 4 4 6 6 1 4 5 6 4 3 2 6 3 6 3 2 2 4 4 2 2 4 2 4 1 2 3 3 3 6 6 1 2 2
## [65161] 3 3 3 5 4 3 3 5 3 1 5 2 3 3 6 3 5 2 4 3 3 2 4 6 4 3 6 6 3 3 3 2 2 6 3 1
## [65197] 6 4 6 1 4 2 2 4 1 1 1 6 4 3 6 6 4 6 1 3 3 6 4 5 3 3 4 6 2 4 4 4 4 6 4 4
## [65233] 6 3 6 1 4 6 4 2 3 2 4 3 4 5 3 6 6 3 4 1 6 3 3 2 3 6 2 5 1 3 2 2 2 4 6 6
## [65269] 2 4 4 6 3 4 3 2 3 4 3 3 3 3 3 4 4 4 3 3 5 3 3 2 3 3 3 6 1 4 5 1 3 4 6 6
## [65305] 4 3 4 4 4 4 1 6 1 2 2 6 3 3 4 1 6 6 3 1 3 2 3 5 5 5 1 3 3 3 3 2 5 2 3 4
## [65341] 3 4 4 3 4 1 2 2 4 1 2 3 1 4 4 6 3 6 2 6 6 3 6 4 3 4 4 6 3 1 1 4 6 6 3 1
## [65377] 3 4 3 3 6 6 2 3 4 2 2 3 4 3 3 2 3 3 3 1 2 6 4 4 6 3 6 3 3 3 6 1 6 4 4 6
## [65413] 3 6 4 3 6 6 2 6 4 4 3 3 6 1 3 5 2 4 6 4 6 6 3 6 3 1 4 1 1 4 3 2 2 5 4 2
## [65449] 6 4 5 3 6 4 6 2 6 2 6 6 3 4 3 3 2 6 4 6 3 3 3 2 5 3 6 3 3 4 3 2 3 4 2 4
## [65485] 2 4 4 3 4 3 3 4 1 6 6 1 3 6 6 3 4 3 5 4 4 3 5 1 3 4 3 3 2 6 6 6 1 4 3 3
## [65521] 1 2 3 3 4 6 1 3 4 2 3 5 3 4 3 4 1 3 3 6 4 3 3 3 4 6 4 6 2 3 2 4 3 3 3 3
## [65557] 3 3 3 3 5 4 3 4 5 4 6 6 2 6 3 2 2 1 2 4 3 6 4 4 6 1 5 1 3 6 3 4 1 3 6 2
## [65593] 2 4 4 6 1 6 5 3 2 3 2 6 3 3 6 2 6 3 2 6 3 3 5 6 3 3 1 6 6 2 1 3 6 4 3 6
## [65629] 6 3 2 3 6 6 6 2 3 2 6 2 3 5 3 3 3 3 6 4 2 4 3 2 4 4 4 5 3 4 3 4 1 6 4 3
## [65665] 1 1 4 2 6 2 2 6 4 3 3 6 6 3 5 2 4 2 3 1 1 3 3 3 2 6 3 2 4 2 3 3 2 6 3 6
## [65701] 3 2 2 4 2 3 2 6 2 6 5 4 2 3 4 4 4 5 4 6 4 6 4 1 3 4 3 1 6 6 2 6 3 6 3 4
## [65737] 3 4 3 6 6 6 2 3 4 3 6 4 2 1 6 3 5 3 3 5 3 4 6 1 3 4 1 6 6 4 3 3 4 2 4 3
## [65773] 4 2 6 6 3 2 2 3 1 6 1 4 1 3 1 3 2 3 2 4 4 4 2 4 2 2 3 1 6 6 3 5 5 6 3 5
## [65809] 6 1 2 6 6 3 3 2 2 1 2 3 2 6 4 2 3 3 4 6 6 4 1 6 3 4 3 5 1 6 5 6 2 2 4 5
## [65845] 3 2 2 1 5 4 3 1 3 4 2 4 3 1 1 4 3 3 4 3 2 3 5 4 1 2 3 1 3 6 4 1 3 1 2 6
## [65881] 4 3 4 5 4 5 5 6 2 6 6 2 6 3 4 3 2 2 2 3 4 6 2 6 3 3 6 3 1 4 6 1 3 4 6 6
## [65917] 6 1 1 3 6 6 2 4 4 6 3 5 4 1 3 4 3 3 3 3 5 1 3 4 4 4 3 4 3 6 6 2 3 4 3 4
## [65953] 3 4 3 6 4 4 5 3 3 5 2 6 3 4 2 3 2 1 6 3 3 4 4 3 2 6 3 1 5 3 1 2 5 3 1 4
## [65989] 3 6 4 1 6 2 6 3 2 3 5 6 3 3 3 3 2 3 2 6 3 6 6 3 5 2 3 3 4 6 4 6 1 3 4 4
## [66025] 3 2 3 3 4 3 4 4 6 3 5 4 5 4 2 3 4 3 3 3 3 6 3 3 2 6 2 3 5 4 5 3 1 1 3 4
## [66061] 1 1 3 6 4 4 4 3 6 2 6 4 4 1 3 3 4 3 3 1 3 4 4 6 3 6 2 3 3 6 6 4 6 4 1 4
## [66097] 1 3 6 3 1 2 3 4 1 3 1 6 6 2 4 2 3 6 1 4 4 6 6 3 3 2 5 3 4 6 4 3 4 4 3 4
## [66133] 3 3 4 1 6 2 6 6 3 3 6 3 1 5 3 4 1 6 4 3 3 1 3 3 3 6 4 6 4 3 5 4 4 3 3 1
## [66169] 6 4 3 5 1 6 3 3 4 1 3 2 1 3 3 3 2 4 6 6 6 3 6 3 6 3 6 2 4 3 3 3 6 1 3 4
## [66205] 5 6 6 3 1 6 1 5 4 6 3 4 5 4 2 2 3 2 3 2 6 6 6 6 4 6 4 1 4 6 3 6 3 6 3 5
## [66241] 4 2 6 6 2 2 1 4 4 3 6 3 4 2 3 4 5 3 4 1 4 4 1 3 3 1 4 6 4 4 4 3 4 4 3 2
## [66277] 5 3 3 3 4 3 4 5 3 3 3 6 4 1 3 1 6 6 3 1 6 3 5 6 2 3 6 3 1 6 2 1 2 1 2 3
## [66313] 6 3 1 4 6 2 3 5 6 6 1 3 3 5 3 6 2 3 3 2 1 4 4 4 2 1 3 6 6 3 1 3 4 3 3 3
## [66349] 3 2 1 3 4 2 6 1 2 6 2 3 1 4 6 6 6 3 4 3 3 4 6 4 4 4 2 2 1 4 4 5 3 3 1 3
## [66385] 3 6 6 5 6 6 3 6 3 6 5 6 4 1 4 4 3 3 2 4 3 3 3 5 2 3 2 3 1 6 4 6 1 4 2 3
## [66421] 3 6 2 4 1 3 3 3 6 2 3 1 1 1 2 6 6 5 6 2 1 3 3 6 2 3 3 3 1 2 6 6 3 4 4 6
## [66457] 3 2 4 2 2 6 3 3 1 2 3 2 3 4 3 4 6 6 3 2 3 3 3 3 4 4 1 1 4 1 5 6 6 6 2 5
## [66493] 2 3 6 3 3 5 3 5 4 2 6 6 3 3 4 3 2 3 3 1 2 6 2 3 3 4 4 3 2 6 1 4 6 2 3 4
## [66529] 2 4 5 4 6 3 1 4 1 3 6 1 6 4 3 4 2 6 1 5 6 5 2 1 1 6 6 6 2 3 3 3 3 6 3 6
## [66565] 3 1 6 3 1 3 1 3 3 2 1 5 4 2 3 2 3 1 6 2 6 3 3 1 4 4 3 2 4 3 3 1 4 3 3 3
## [66601] 3 3 2 3 3 1 4 4 3 3 6 4 6 2 2 3 4 2 4 6 3 5 3 6 4 4 6 6 1 4 2 6 6 6 2 6
## [66637] 3 5 2 2 2 3 3 4 3 5 3 3 3 4 3 3 3 2 6 4 5 3 2 6 4 2 1 2 3 3 6 6 6 6 6 2
## [66673] 3 2 4 4 4 4 4 4 2 3 1 6 3 4 6 4 6 2 6 1 3 3 3 4 2 3 3 3 3 1 6 4 3 3 6 4
## [66709] 2 2 1 3 6 5 3 3 5 6 6 6 3 4 2 4 3 2 5 3 2 4 4 6 4 3 6 6 3 4 4 1 5 2 1 6
## [66745] 4 6 5 6 3 3 3 6 5 6 2 3 1 6 6 2 4 1 3 1 1 4 2 4 6 3 3 6 3 5 3 2 6 1 6 3
## [66781] 3 3 6 3 3 3 1 6 3 3 3 5 2 1 3 4 3 1 3 4 6 3 3 3 5 2 6 2 2 2 6 1 3 5 1 2
## [66817] 2 3 5 3 2 3 2 1 5 3 6 3 5 3 4 3 6 4 5 3 2 3 4 2 3 3 5 3 3 2 6 6 4 3 4 3
## [66853] 4 3 4 6 5 6 2 6 3 6 4 4 1 3 5 2 2 4 3 3 6 6 6 3 1 4 3 3 1 1 3 6 4 3 3 3
## [66889] 6 3 5 3 2 6 4 4 3 6 1 3 2 2 1 5 1 5 3 3 1 6 6 3 4 2 4 2 6 1 3 6 3 2 3 4
## [66925] 1 6 3 4 6 2 2 3 6 6 3 1 2 6 6 4 4 3 1 3 2 2 3 2 4 2 3 1 1 6 4 2 4 6 2 2
## [66961] 3 6 3 1 3 6 6 2 5 4 2 1 3 3 3 3 3 1 3 1 6 6 2 3 6 6 3 3 3 4 1 5 3 3 3 6
## [66997] 6 6 3 2 3 6 3 4 3 5 5 3 3 6 6 6 6 4 3 3 3 3 2 4 2 2 2 4 3 5 1 4 4 1 2 4
## [67033] 1 6 2 6 6 4 2 3 6 6 6 3 4 4 3 4 1 3 6 6 2 4 3 3 4 6 6 4 6 2 2 2 2 3 4 3
## [67069] 3 3 6 3 3 3 3 3 3 3 1 1 4 2 4 1 3 6 3 3 6 3 3 2 6 4 3 3 4 6 3 6 4 3 6 3
## [67105] 3 3 2 4 3 3 3 3 3 6 4 6 6 5 1 4 3 2 3 2 1 1 2 3 2 3 6 4 2 6 3 3 3 4 6 6
## [67141] 2 3 5 6 3 3 1 2 4 3 4 2 4 2 4 1 4 3 2 3 4 3 6 1 2 2 3 5 4 6 1 1 1 4 2 3
## [67177] 3 6 6 2 3 2 2 2 2 3 5 2 3 2 3 6 2 3 3 3 2 6 5 1 1 3 3 3 3 1 3 4 4 2 4 4
## [67213] 6 3 2 6 3 4 1 3 2 4 6 3 2 6 4 2 3 3 3 6 2 3 2 3 4 6 5 4 5 1 3 4 3 6 6 2
## [67249] 3 5 3 6 1 4 3 6 3 3 3 3 1 2 6 3 2 2 4 6 6 3 2 2 6 3 6 2 2 6 5 4 6 6 3 3
## [67285] 1 4 2 3 4 3 3 1 6 3 3 6 3 4 6 4 4 4 3 2 3 2 4 2 1 3 4 3 6 1 1 4 6 6 4 3
## [67321] 1 4 3 2 2 6 2 3 3 2 6 3 6 1 3 3 3 2 3 1 5 4 1 6 3 3 3 3 3 6 3 3 6 6 1 3
## [67357] 2 2 2 3 2 1 3 3 2 6 2 4 3 3 4 6 6 3 4 2 4 2 4 3 3 3 1 4 3 3 3 5 2 6 5 1
## [67393] 3 4 5 1 5 3 6 2 3 6 2 1 3 6 3 1 3 3 5 3 3 1 2 3 6 3 3 3 3 3 4 3 2 3 4 4
## [67429] 3 3 3 1 2 3 6 2 3 5 3 5 2 3 3 3 3 6 6 4 4 3 3 6 1 2 1 6 4 2 6 4 2 6 3 6
## [67465] 4 3 3 2 3 4 3 1 5 1 6 6 5 6 1 1 4 6 3 2 4 6 6 1 6 3 6 3 3 6 3 2 4 3 2 6
## [67501] 3 2 6 4 2 1 3 4 4 4 6 1 6 4 1 4 3 3 3 3 3 6 3 6 1 6 3 6 6 4 3 2 2 1 6 2
## [67537] 2 5 3 2 3 3 6 2 3 4 4 2 6 4 4 6 6 4 1 6 2 4 1 5 6 3 4 3 3 4 3 1 4 6 3 6
## [67573] 3 3 3 4 3 3 4 4 5 3 3 4 3 2 5 2 6 3 6 4 2 1 3 1 5 4 4 3 2 4 2 3 1 1 3 3
## [67609] 6 2 4 2 2 2 6 1 3 6 6 6 4 2 1 6 4 3 2 6 5 1 1 4 4 6 3 3 3 3 3 3 3 3 2 6
## [67645] 2 4 1 3 2 3 3 2 1 4 3 4 3 3 6 2 2 3 1 4 3 3 4 6 6 3 3 3 6 3 6 4 2 2 3 3
## [67681] 4 2 1 6 3 2 3 4 1 3 2 6 6 6 3 4 3 6 4 3 4 2 2 3 4 2 2 3 3 3 2 4 3 2 4 6
## [67717] 1 3 2 2 6 6 3 4 2 2 4 2 4 6 4 4 2 4 6 6 3 2 3 4 4 2 3 4 3 4 3 6 3 1 3 3
## [67753] 1 6 5 3 1 3 3 6 4 3 6 4 3 4 6 2 3 3 4 4 3 3 1 3 1 6 3 4 4 5 1 4 6 4 4 3
## [67789] 2 2 6 6 4 1 2 2 2 2 6 2 4 2 6 4 6 3 4 4 3 6 4 6 2 6 3 6 6 2 3 6 1 3 3 3
## [67825] 3 5 1 3 3 4 4 2 4 3 2 2 3 4 2 4 4 2 3 2 3 3 4 3 4 6 4 6 3 3 5 2 4 1 6 4
## [67861] 6 1 1 6 6 3 6 2 2 2 3 2 6 6 6 5 1 4 3 3 4 5 3 6 3 4 3 4 6 4 2 3 6 1 2 4
## [67897] 4 2 2 5 4 4 5 1 3 3 4 1 2 4 4 4 4 4 4 1 3 3 5 6 5 6 1 4 4 4 1 1 4 2 3 3
## [67933] 2 3 3 2 4 6 2 2 4 2 4 2 3 1 6 2 1 4 3 2 3 4 3 3 6 3 6 4 3 2 6 3 3 6 2 6
## [67969] 6 3 6 6 5 2 3 4 3 4 4 4 2 3 4 4 3 3 3 3 1 3 3 3 1 4 1 3 4 2 1 6 4 4 3 3
## [68005] 3 3 6 3 5 6 3 2 4 4 6 4 4 2 4 6 3 1 1 2 1 4 1 6 4 2 4 4 2 6 1 6 3 4 1 3
## [68041] 2 2 4 3 3 3 6 3 3 5 6 3 3 3 3 6 3 6 2 6 3 4 1 3 6 2 1 3 4 4 4 4 6 4 3 6
## [68077] 3 4 5 2 2 5 2 2 6 6 3 2 6 3 6 4 2 3 4 2 3 3 6 4 3 6 4 2 3 4 3 6 3 2 1 4
## [68113] 2 3 2 6 5 3 3 6 3 4 3 4 4 6 4 6 3 3 4 6 3 4 2 3 4 3 6 1 3 4 6 3 3 6 3 3
## [68149] 3 3 2 3 5 3 6 3 2 3 6 3 2 4 6 6 4 6 2 3 2 3 3 2 3 2 6 2 3 4 2 1 3 3 1 6
## [68185] 4 5 1 6 5 4 6 6 4 4 3 3 6 4 4 5 2 3 3 2 3 2 3 6 3 3 5 4 3 2 2 2 4 2 1 3
## [68221] 2 3 4 3 4 4 3 2 1 3 2 4 4 3 2 1 3 4 2 1 3 4 5 6 6 4 5 2 3 4 3 6 6 3 5 2
## [68257] 3 2 4 4 4 4 4 6 2 3 4 2 6 3 2 3 1 3 5 2 6 5 5 3 3 2 6 1 6 1 4 6 3 3 6 6
## [68293] 3 6 4 6 4 6 6 3 6 3 3 1 4 6 3 3 4 3 3 2 6 6 3 2 1 6 6 1 5 2 3 6 4 3 2 3
## [68329] 3 2 2 2 2 3 2 3 6 3 6 3 3 4 4 3 4 4 2 3 3 3 3 6 3 3 4 3 1 1 2 3 2 2 3 2
## [68365] 6 6 4 4 6 2 4 3 4 4 6 1 6 2 2 1 4 3 2 4 2 3 3 2 4 3 6 6 2 3 1 6 3 4 4 4
## [68401] 3 5 3 6 2 6 3 2 6 6 2 3 6 4 3 6 3 6 1 4 2 3 4 3 5 3 4 6 3 6 3 1 3 6 5 6
## [68437] 5 4 1 3 4 6 4 3 6 3 2 4 1 1 2 1 3 1 2 4 3 6 3 2 4 3 2 2 4 3 3 3 3 5 6 1
## [68473] 5 3 6 2 6 3 5 6 2 1 4 3 2 2 6 6 5 2 2 1 3 3 2 3 4 4 1 4 1 6 4 6 3 6 4 3
## [68509] 3 3 3 6 4 2 2 2 2 1 4 3 3 6 2 2 6 4 6 3 4 3 3 3 3 3 6 2 2 4 2 4 4 4 6 3
## [68545] 4 2 4 4 6 1 6 3 3 2 3 2 1 1 6 3 1 4 3 2 2 1 1 6 4 1 4 4 6 3 1 4 4 4 3 3
## [68581] 3 5 3 3 1 4 1 5 4 4 1 3 4 3 3 3 4 2 3 4 3 4 5 3 2 2 3 3 3 3 2 6 2 3 4 6
## [68617] 1 1 3 3 2 3 2 2 4 2 2 6 6 3 1 3 6 2 3 3 6 6 4 3 6 5 2 3 6 2 6 6 2 2 2 2
## [68653] 2 1 6 1 3 3 6 2 4 3 1 5 6 3 4 3 3 3 2 5 1 4 6 4 2 3 2 4 2 4 3 4 4 3 3 2
## [68689] 4 6 6 4 6 1 1 4 1 6 3 6 2 6 3 6 4 6 4 5 1 5 3 6 3 4 1 3 1 6 4 5 6 6 4 1
## [68725] 3 6 2 4 3 3 6 2 2 3 3 4 6 3 6 4 2 6 4 2 4 4 2 3 3 3 3 4 6 3 6 1 3 2 1 5
## [68761] 6 2 4 3 6 2 3 4 2 3 6 6 2 4 3 3 3 2 6 3 5 2 3 3 4 6 3 6 3 3 3 3 2 3 3 4
## [68797] 4 2 1 3 6 3 3 1 6 2 5 1 4 1 3 6 1 6 3 2 2 4 4 3 6 4 3 3 3 2 5 3 3 3 6 3
## [68833] 2 2 2 3 6 4 6 6 3 4 3 4 5 1 3 5 3 3 2 2 1 3 4 6 2 6 4 4 3 6 3 5 2 2 6 2
## [68869] 2 3 2 4 1 2 3 3 3 2 6 1 3 3 1 2 6 6 4 6 6 4 2 3 4 3 4 2 4 3 3 4 4 1 2 3
## [68905] 3 3 6 6 3 3 6 1 1 3 5 2 1 4 3 4 6 1 5 6 4 1 6 6 6 2 3 4 3 6 2 3 2 3 1 4
## [68941] 1 5 4 4 4 6 6 3 6 3 6 2 2 4 4 3 5 6 3 3 3 5 3 6 6 4 1 3 2 6 6 3 3 2 6 5
## [68977] 2 3 2 3 6 3 3 4 6 3 1 5 3 3 5 5 1 3 4 3 1 2 6 3 2 4 3 2 6 3 2 6 2 6 1 4
## [69013] 1 3 4 3 3 3 3 6 5 6 6 6 3 6 2 3 3 4 6 3 6 2 3 3 5 4 4 2 4 4 3 4 1 3 2 5
## [69049] 6 4 4 1 1 5 6 6 2 2 4 6 3 2 3 2 4 6 6 3 4 6 4 6 2 2 6 3 5 4 6 6 4 6 2 3
## [69085] 3 3 4 6 3 6 3 2 6 1 6 2 4 3 6 5 4 6 6 3 3 3 1 6 4 6 3 6 3 6 6 4 2 3 2 2
## [69121] 2 1 3 5 6 3 6 1 5 1 6 5 1 3 3 1 6 2 2 3 6 6 1 3 1 3 4 3 1 4 3 2 3 3 4 6
## [69157] 1 6 3 4 3 4 6 4 1 4 4 4 3 4 3 3 6 6 6 2 3 2 3 2 2 4 6 6 2 6 4 1 2 6 2 3
## [69193] 6 1 3 6 3 5 3 3 3 5 4 2 2 3 4 6 6 3 6 3 6 3 3 2 6 3 6 6 4 4 3 1 1 2 5 6
## [69229] 3 3 4 5 2 3 4 3 4 1 6 3 3 6 2 2 3 1 3 3 3 1 2 4 4 4 4 5 1 3 1 6 3 6 3 4
## [69265] 4 6 3 4 2 4 2 4 4 3 4 2 3 2 2 4 4 6 6 4 4 6 6 5 6 6 3 4 4 3 3 6 3 4 3 4
## [69301] 3 4 3 2 6 5 4 5 3 5 2 3 4 3 2 6 2 4 4 1 3 3 5 3 3 3 3 4 4 4 6 4 4 6 6 1
## [69337] 3 4 6 3 2 3 3 4 6 2 4 5 4 3 4 3 3 3 4 2 2 6 2 3 6 3 2 3 1 3 5 4 3 4 6 3
## [69373] 1 4 3 4 3 4 6 3 2 3 3 3 4 5 4 4 3 5 1 1 2 1 4 3 2 1 3 6 3 6 4 3 3 4 3 6
## [69409] 3 3 3 3 4 3 6 3 2 3 5 6 6 3 2 3 2 3 2 3 2 3 5 3 3 3 4 2 6 3 5 3 3 1 4 3
## [69445] 6 3 3 1 2 5 4 4 3 4 1 4 6 6 5 3 2 6 3 4 5 3 2 5 5 3 4 6 3 2 3 4 1 3 6 4
## [69481] 6 6 4 2 3 6 3 1 1 4 1 3 3 4 3 2 4 4 6 3 1 3 2 3 2 1 6 3 4 4 3 4 3 5 4 5
## [69517] 1 6 1 6 3 2 3 2 6 4 4 3 3 4 3 6 2 2 4 2 4 4 3 3 1 3 4 3 4 4 3 3 6 6 6 3
## [69553] 2 4 3 2 5 4 4 3 6 3 2 6 2 3 6 2 1 2 3 1 3 4 2 2 3 2 4 1 3 3 6 6 1 1 3 2
## [69589] 4 1 5 6 2 2 5 6 3 6 4 4 6 6 5 4 1 6 1 2 1 4 2 1 3 2 1 4 4 3 2 3 6 3 2 4
## [69625] 3 6 4 2 5 4 3 4 3 3 1 2 2 1 3 3 4 4 6 3 6 3 4 4 3 3 4 3 1 4 3 4 4 2 4 3
## [69661] 4 1 3 6 3 1 3 2 3 5 1 4 6 3 2 4 2 4 4 6 6 4 1 5 1 3 2 6 3 3 2 4 3 3 3 3
## [69697] 2 3 5 4 1 3 2 3 1 2 5 6 3 5 6 6 3 3 4 3 6 3 3 2 3 4 3 3 6 4 3 1 1 2 3 6
## [69733] 3 3 6 5 6 3 3 3 1 4 3 1 2 4 2 6 5 3 6 3 1 1 2 3 2 6 3 5 3 4 2 6 3 1 2 4
## [69769] 5 3 4 3 3 1 1 1 1 5 4 3 4 2 3 4 4 3 4 4 3 3 2 3 1 6 2 2 4 2 3 2 2 2 6 4
## [69805] 3 3 6 2 1 4 1 6 3 3 3 4 4 6 6 4 2 6 4 6 1 6 6 3 3 2 2 6 5 4 2 6 3 6 2 4
## [69841] 2 4 2 2 2 3 6 3 4 3 2 2 4 3 3 6 4 3 3 1 3 4 6 3 4 4 3 1 2 1 4 4 4 1 6 3
## [69877] 3 6 1 3 2 3 3 3 3 5 4 5 6 3 6 4 4 3 3 2 2 6 4 6 1 4 3 2 1 3 2 4 6 6 6 4
## [69913] 6 4 3 2 6 3 2 4 3 5 4 4 6 4 6 2 2 6 6 2 2 3 2 3 4 6 4 6 1 1 1 1 6 1 3 1
## [69949] 2 4 4 2 6 6 4 3 3 4 2 3 1 4 2 3 5 3 1 6 3 1 3 3 2 6 3 3 2 2 4 2 3 1 6 6
## [69985] 6 3 4 2 1 6 6 6 2 3 5 6 6 1 4 4 2 3 4 5 3 3 6 6 6 4 4 4 5 3 4 4 5 4 2 5
## [70021] 2 2 3 6 4 6 6 2 3 4 3 6 5 2 2 4 2 3 4 1 2 2 6 1 4 6 3 2 2 6 2 5 6 5 4 3
## [70057] 1 6 5 6 1 1 3 4 6 3 6 3 4 6 6 5 3 3 6 4 4 3 4 4 6 2 2 2 3 3 1 3 3 3 4 3
## [70093] 5 1 4 6 3 2 4 3 3 4 2 2 2 6 3 4 4 4 1 4 3 3 4 5 3 6 6 3 2 4 6 3 6 1 2 2
## [70129] 2 3 4 3 6 3 6 4 3 2 2 1 4 6 2 3 4 6 3 3 1 6 4 6 2 3 4 3 4 4 2 6 5 2 3 6
## [70165] 1 4 6 4 3 2 3 3 3 6 3 1 6 4 3 2 3 6 2 1 4 2 1 3 3 3 2 4 3 2 3 3 3 6 1 4
## [70201] 3 6 3 4 4 6 6 6 4 4 6 6 6 3 3 1 3 6 1 1 3 6 6 6 1 1 6 3 1 4 3 4 2 2 3 2
## [70237] 6 1 2 2 2 3 6 2 3 3 4 3 6 3 1 3 5 3 3 4 3 1 6 1 3 2 3 3 3 2 5 2 3 5 6 3
## [70273] 6 3 6 2 3 4 1 4 4 1 6 3 1 4 2 3 6 2 6 3 3 6 2 4 4 3 3 3 3 6 4 6 2 4 4 2
## [70309] 3 3 3 4 6 4 6 2 2 3 5 2 3 1 3 4 4 2 4 3 3 2 3 3 2 6 2 4 2 4 1 4 3 2 1 6
## [70345] 1 1 3 4 6 5 5 3 3 1 1 3 3 2 2 3 6 4 5 4 3 5 2 5 4 1 3 1 3 2 3 2 4 2 3 6
## [70381] 2 6 4 3 3 4 3 3 6 4 2 4 4 6 1 6 3 2 6 2 4 1 1 4 2 2 6 2 5 1 6 6 1 1 4 5
## [70417] 1 6 2 6 4 6 2 6 2 6 3 2 3 3 3 4 2 4 3 5 1 2 6 2 3 6 1 2 1 3 1 4 6 3 3 3
## [70453] 4 6 3 3 3 3 2 4 3 6 6 3 1 4 6 3 6 4 2 4 6 1 1 6 2 4 6 1 4 6 5 6 3 6 5 1
## [70489] 3 1 4 4 1 6 6 3 1 3 4 3 6 6 2 6 4 6 4 1 1 3 2 4 3 3 4 3 4 5 3 3 6 3 3 3
## [70525] 3 1 1 3 6 3 3 6 1 3 2 4 3 3 6 6 4 4 3 3 1 3 5 1 4 6 6 6 3 2 2 4 3 3 3 4
## [70561] 3 3 4 3 2 1 2 3 3 3 4 3 4 1 6 3 4 2 3 2 2 2 2 4 6 6 3 6 6 3 4 2 4 2 6 3
## [70597] 3 1 3 4 2 4 3 3 4 2 5 3 2 6 2 3 6 6 3 3 6 4 4 3 1 6 4 3 2 3 3 6 6 3 6 4
## [70633] 5 5 6 6 4 4 1 5 6 6 6 1 6 1 2 4 4 2 1 2 3 2 3 2 3 2 3 6 5 2 3 4 3 6 2 6
## [70669] 4 2 3 3 3 3 3 4 5 2 6 1 5 4 3 3 1 2 3 4 2 3 4 2 3 6 1 2 2 2 2 1 2 6 3 1
## [70705] 4 2 3 1 6 3 1 2 3 2 4 2 2 6 1 3 3 5 6 6 2 3 6 4 6 3 4 2 3 4 2 2 6 4 3 4
## [70741] 3 3 3 4 4 3 5 3 6 6 2 2 3 2 3 3 5 5 4 6 4 4 6 4 3 3 6 2 3 6 4 2 2 6 1 6
## [70777] 3 6 5 4 6 3 3 5 3 3 3 4 3 2 4 2 5 4 6 6 1 6 3 3 4 1 4 2 3 3 5 4 5 6 4 1
## [70813] 4 4 1 6 3 3 2 3 1 1 3 2 3 2 3 4 3 4 6 3 3 2 6 3 4 4 4 4 3 4 3 2 3 4 6 6
## [70849] 4 3 4 2 1 6 1 4 2 4 2 6 6 4 3 3 4 6 4 2 3 1 4 2 3 4 3 4 1 6 1 3 3 3 3 1
## [70885] 6 3 1 3 6 3 3 6 3 2 6 3 1 2 4 3 6 3 2 3 4 3 4 1 4 3 6 3 3 3 1 1 3 2 3 3
## [70921] 6 6 3 2 4 1 3 6 3 3 6 3 4 5 1 4 4 4 3 6 5 3 6 6 3 2 2 2 2 3 2 3 2 2 2 4
## [70957] 2 3 2 4 3 3 3 3 5 2 4 4 6 2 6 6 1 3 3 4 4 2 3 2 3 2 3 4 3 4 1 1 1 4 3 6
## [70993] 5 2 4 6 2 3 3 4 2 6 2 3 3 3 4 2 3 1 3 2 3 3 1 4 6 1 3 6 1 3 4 2 6 2 2 3
## [71029] 1 4 6 5 3 4 1 6 3 4 1 4 5 4 2 1 3 3 1 2 6 5 6 1 4 6 4 3 6 1 3 6 4 6 6 6
## [71065] 3 1 3 3 2 3 4 6 3 2 3 3 2 6 2 3 5 4 6 3 3 5 3 1 3 4 3 2 3 3 3 3 4 1 3 2
## [71101] 1 5 1 4 3 2 3 3 2 4 6 4 6 6 4 2 3 6 2 2 3 6 3 2 4 2 6 4 6 4 4 3 6 3 4 3
## [71137] 3 3 1 5 3 6 4 4 3 3 6 2 4 3 3 2 3 3 3 3 6 1 4 2 4 1 2 4 2 6 2 6 4 6 6 2
## [71173] 3 2 4 6 6 2 6 2 3 3 3 3 2 3 2 6 2 3 3 3 3 3 3 1 4 5 6 4 1 1 4 1 4 3 3 4
## [71209] 2 6 6 5 3 5 6 1 6 3 3 3 3 3 3 2 2 4 3 3 3 6 3 3 2 2 4 1 2 3 4 2 3 4 3 4
## [71245] 5 2 3 3 2 4 4 5 6 4 3 3 2 4 1 6 6 3 3 3 2 2 3 6 3 3 2 4 2 1 3 3 2 6 3 6
## [71281] 4 4 4 3 3 6 5 5 6 3 6 2 3 3 6 4 6 2 6 3 6 6 4 4 6 1 2 2 4 2 1 4 3 6 4 4
## [71317] 3 2 3 3 3 4 1 3 4 3 3 3 3 3 2 2 3 6 3 3 6 4 4 3 1 4 4 6 2 6 4 6 3 6 6 5
## [71353] 1 4 3 6 3 3 2 3 5 2 6 6 4 3 2 6 2 4 3 3 3 3 2 2 3 2 3 4 1 4 3 6 3 4 6 4
## [71389] 3 6 2 4 4 1 3 2 4 4 3 6 3 3 6 4 3 4 6 4 5 1 3 3 6 6 6 3 6 6 3 4 3 3 2 4
## [71425] 5 5 5 5 2 4 6 4 3 3 6 4 4 6 6 6 3 5 6 1 1 6 6 2 2 5 6 3 3 3 3 2 6 2 6 3
## [71461] 6 3 2 1 4 6 3 5 1 1 5 1 6 4 2 4 3 2 3 3 2 2 3 2 3 3 1 6 3 4 3 1 3 6 3 3
## [71497] 6 3 3 2 4 2 3 3 4 2 4 3 3 1 3 3 4 4 3 6 4 3 4 3 3 2 3 3 3 4 6 4 5 4 5 3
## [71533] 6 4 3 1 3 6 3 6 6 1 3 3 3 6 4 2 3 3 3 3 2 2 3 6 3 6 1 2 4 1 6 5 6 3 3 3
## [71569] 4 3 2 1 4 1 6 6 2 2 6 3 6 1 3 3 4 3 3 3 3 2 2 4 6 1 3 6 2 2 1 1 3 1 3 4
## [71605] 5 6 6 1 2 4 4 3 3 3 4 3 4 2 6 3 3 4 4 1 3 5 4 5 2 2 3 4 3 1 3 2 3 4 1 2
## [71641] 2 3 2 3 3 4 2 3 3 4 2 3 4 3 2 3 4 3 5 6 3 3 3 6 3 6 4 3 2 5 5 2 2 3 2 4
## [71677] 3 4 3 3 2 2 6 6 6 3 4 6 4 3 3 3 3 1 3 4 6 2 5 1 1 5 4 4 3 2 3 5 2 3 6 4
## [71713] 4 3 3 3 2 5 5 3 3 5 6 4 2 6 3 6 2 6 3 3 3 1 2 3 3 6 2 4 1 5 5 3 3 6 3 3
## [71749] 6 4 3 2 3 5 3 2 3 2 4 2 4 2 2 3 4 5 6 6 2 1 2 3 3 2 6 2 6 1 2 3 6 3 6 2
## [71785] 2 3 3 6 3 4 4 4 3 6 3 6 3 6 3 6 1 3 2 3 4 3 2 3 4 2 3 3 2 2 2 3 5 2 1 2
## [71821] 2 1 3 3 6 5 4 6 3 3 3 6 1 1 1 3 4 6 3 6 6 4 3 2 6 2 6 4 5 6 4 3 2 2 5 6
## [71857] 2 2 6 1 6 6 3 4 3 3 1 6 3 4 1 3 6 4 6 3 3 2 3 4 3 3 2 4 4 3 4 5 1 3 6 6
## [71893] 2 4 3 6 2 6 3 3 5 4 4 4 3 3 6 2 3 6 3 3 4 3 3 3 1 6 1 3 3 3 1 3 4 3 4 4
## [71929] 3 6 1 3 3 6 3 3 3 2 2 2 6 3 1 6 6 4 3 6 3 3 4 2 3 3 3 3 6 2 1 2 3 3 6 6
## [71965] 2 4 6 3 3 3 2 1 6 6 1 6 5 4 5 1 4 2 3 3 2 6 3 2 6 4 3 2 5 6 3 4 3 3 4 3
## [72001] 3 6 6 3 1 6 1 4 6 4 5 2 4 4 3 6 4 4 3 3 2 1 6 2 2 6 2 6 3 3 6 1 3 1 1 4
## [72037] 3 2 2 6 3 4 4 2 2 3 3 3 6 6 2 3 2 3 6 5 6 3 4 3 6 3 5 6 5 4 4 4 3 6 4 1
## [72073] 3 4 4 3 3 3 4 6 6 4 1 4 6 3 4 2 3 2 5 2 1 2 6 3 6 2 3 6 3 3 3 6 3 4 1 6
## [72109] 4 3 3 6 6 4 3 1 3 6 3 5 2 3 3 4 6 3 2 6 2 1 1 6 4 2 6 3 6 2 4 2 1 1 2 3
## [72145] 1 6 4 2 6 4 3 4 6 2 6 3 3 3 3 3 6 6 3 5 2 3 4 1 3 3 2 4 3 6 2 6 2 3 6 6
## [72181] 3 3 6 6 4 3 3 4 6 1 6 3 5 6 2 2 3 2 2 2 6 3 4 3 2 6 4 3 2 3 4 4 4 6 6 5
## [72217] 6 1 3 2 3 3 3 5 6 2 6 3 2 6 3 4 5 2 6 1 3 4 3 3 6 2 6 4 3 3 3 6 5 6 4 4
## [72253] 3 6 3 6 5 4 3 4 3 2 2 3 4 3 2 4 3 2 3 1 4 2 4 2 2 2 4 6 1 4 3 3 6 4 1 1
## [72289] 6 5 2 1 2 3 5 4 3 4 6 4 4 6 5 6 6 4 4 3 2 4 6 3 4 6 3 5 4 1 6 1 6 3 2 2
## [72325] 4 2 4 3 4 5 2 3 2 3 4 3 6 3 4 6 2 3 2 5 2 3 1 6 3 4 3 1 3 3 1 1 1 6 3 4
## [72361] 6 1 4 1 6 4 6 2 2 3 3 2 1 2 4 3 3 3 4 6 4 1 5 6 3 5 3 4 3 3 6 2 2 3 4 4
## [72397] 6 3 6 6 4 2 4 4 3 1 3 6 4 6 6 4 2 3 3 3 6 6 3 4 4 6 6 5 1 3 3 2 6 3 1 1
## [72433] 4 2 3 2 3 3 4 6 5 6 2 2 4 3 4 4 4 4 3 4 3 6 2 1 4 2 3 3 6 2 2 6 3 3 2 2
## [72469] 6 3 6 3 2 4 4 3 4 3 4 3 2 3 4 2 2 6 4 3 2 3 2 4 3 1 1 3 4 3 1 1 4 6 6 6
## [72505] 3 3 3 3 1 3 3 6 1 3 4 4 6 1 4 3 3 6 3 6 2 1 2 6 3 2 4 3 6 3 2 6 4 3 2 6
## [72541] 1 2 5 4 3 1 6 2 5 3 1 6 3 2 3 3 3 5 6 6 4 6 4 1 3 1 5 4 3 1 6 4 2 3 3 3
## [72577] 6 5 4 3 2 3 3 6 4 3 3 6 6 3 4 4 6 6 6 2 2 2 4 6 2 2 3 3 2 3 2 2 1 6 3 4
## [72613] 4 3 4 5 6 6 4 3 1 3 6 6 1 6 3 4 4 4 1 4 5 2 3 2 6 3 4 6 3 6 2 3 3 6 1 6
## [72649] 3 6 2 6 3 3 4 4 6 3 2 3 5 2 6 4 4 5 3 1 3 3 4 3 1 1 3 3 6 6 2 6 3 4 3 6
## [72685] 6 2 4 6 2 3 3 3 3 4 4 4 4 3 2 3 1 1 2 4 4 1 3 3 4 4 5 4 3 2 2 3 4 4 6 6
## [72721] 2 3 3 2 6 4 2 4 3 3 3 6 6 2 6 3 4 3 3 2 3 2 6 2 2 2 6 4 6 4 2 3 3 3 4 2
## [72757] 6 6 4 3 3 3 3 1 3 1 2 3 6 1 2 1 4 6 6 3 2 4 2 3 3 2 1 3 2 3 3 6 4 1 4 6
## [72793] 3 3 3 6 3 1 4 6 6 4 2 3 3 3 3 4 4 1 6 3 3 6 3 6 3 6 3 1 2 3 6 3 3 3 3 4
## [72829] 2 6 3 4 4 3 3 1 6 4 3 3 2 5 5 6 2 4 1 3 6 5 6 6 3 3 6 2 5 6 4 1 3 2 2 4
## [72865] 3 4 1 4 6 3 4 2 3 3 3 4 3 3 3 1 6 3 6 2 2 6 6 6 3 2 4 4 1 3 4 4 1 1 2 4
## [72901] 6 4 3 4 5 6 4 1 2 3 2 4 4 1 3 5 3 5 3 2 3 3 6 6 4 3 1 3 6 6 3 4 6 3 2 3
## [72937] 6 2 4 6 2 3 2 3 6 3 4 4 3 6 3 4 2 3 2 5 3 3 1 2 4 6 1 4 1 2 3 3 1 3 5 1
## [72973] 5 1 4 3 1 1 4 3 3 3 2 3 2 2 3 6 4 1 3 2 2 2 2 5 2 5 2 6 3 6 6 6 4 6 4 2
## [73009] 4 3 4 4 3 6 3 3 1 2 1 4 6 3 4 3 4 3 4 3 4 2 3 2 3 6 2 3 6 2 3 2 3 2 3 4
## [73045] 6 3 4 3 3 6 2 6 3 1 1 3 3 6 6 6 6 5 3 3 2 2 1 6 2 6 3 3 3 3 6 3 4 6 3 3
## [73081] 4 3 3 5 2 1 4 5 4 1 6 6 5 6 1 1 2 6 2 1 1 3 2 3 4 3 3 2 3 4 6 2 5 4 3 4
## [73117] 2 4 1 3 3 6 3 3 6 4 4 5 2 1 3 6 1 4 3 4 4 6 3 6 3 4 6 4 3 4 4 2 6 1 4 3
## [73153] 3 2 4 6 4 3 6 5 3 4 4 1 1 3 2 4 3 6 6 6 1 4 6 6 3 6 6 3 4 3 2 2 5 2 4 3
## [73189] 6 2 3 4 6 3 4 1 6 1 4 2 6 2 4 5 6 3 4 2 2 6 4 1 4 6 3 6 3 4 3 4 3 6 3 2
## [73225] 4 3 2 3 1 3 4 5 3 4 3 3 6 6 1 4 1 6 4 4 4 4 6 4 1 6 4 4 1 6 1 1 3 5 3 6
## [73261] 2 4 3 2 6 2 3 2 5 3 2 6 3 3 1 6 6 6 4 4 4 2 3 3 6 1 6 4 4 3 4 3 2 3 6 2
## [73297] 4 1 4 6 2 3 3 5 3 5 6 6 2 3 5 6 2 2 3 4 6 3 2 2 3 4 3 3 4 4 3 4 2 6 6 2
## [73333] 2 4 2 3 4 6 3 4 4 4 2 4 4 6 6 3 1 3 2 3 1 2 6 3 4 6 5 6 4 4 3 6 2 3 4 6
## [73369] 3 4 6 1 1 3 3 3 6 3 4 6 6 6 6 4 6 2 6 2 3 4 3 6 2 6 3 1 2 3 2 1 6 3 3 3
## [73405] 5 4 2 6 3 3 1 6 3 6 4 3 3 3 6 4 2 4 4 2 2 3 1 2 3 3 3 6 6 3 6 4 3 1 6 3
## [73441] 4 2 6 3 4 2 4 6 5 5 5 6 3 3 2 1 4 6 6 4 2 2 2 3 3 3 3 3 6 3 6 2 6 2 3 1
## [73477] 6 3 4 3 2 4 6 3 6 2 6 4 6 3 4 3 4 1 4 6 5 6 3 4 3 3 1 1 4 3 4 3 2 2 6 3
## [73513] 3 3 4 3 1 2 6 3 3 4 6 3 4 3 3 3 3 2 3 6 6 1 4 4 6 5 2 2 4 3 3 4 4 3 2 3
## [73549] 6 6 4 4 6 4 4 1 3 3 6 6 5 6 5 2 5 4 6 6 3 4 2 5 3 1 4 5 4 1 3 1 3 4 6 2
## [73585] 3 4 6 6 3 2 4 3 2 4 6 3 4 6 6 3 4 4 3 4 4 3 2 3 3 4 3 6 6 1 1 6 3 3 6 1
## [73621] 3 3 3 4 5 6 6 4 3 1 1 6 3 4 5 1 2 1 3 4 3 5 1 6 6 6 4 6 2 4 3 3 2 3 2 3
## [73657] 1 3 4 2 1 3 4 1 2 4 4 3 4 2 6 3 3 5 4 2 4 2 2 4 3 1 3 2 6 4 4 2 3 1 3 3
## [73693] 6 3 6 2 2 5 3 5 2 6 2 3 2 3 3 2 3 4 2 3 3 4 6 3 6 2 1 3 1 6 6 3 6 4 4 1
## [73729] 2 3 2 3 3 1 3 2 6 3 2 3 6 3 3 4 1 6 3 6 3 3 3 4 3 3 1 6 1 3 4 3 1 3 2 4
## [73765] 3 4 3 4 4 2 6 4 4 3 2 3 1 3 6 3 4 4 1 6 2 6 3 4 2 4 2 2 2 2 3 3 3 3 3 2
## [73801] 6 3 6 3 3 6 2 3 4 1 3 2 3 3 3 6 2 6 3 6 6 3 4 5 3 2 3 4 5 4 6 3 6 3 3 3
## [73837] 3 1 6 4 5 4 1 3 6 6 3 6 2 2 3 6 3 2 4 3 3 3 4 3 4 2 6 4 3 3 1 4 4 6 6 6
## [73873] 3 6 1 1 6 5 4 3 3 1 6 6 3 6 3 3 3 3 3 3 2 3 6 4 2 3 5 1 5 4 1 2 4 3 3 4
## [73909] 4 2 4 2 2 2 4 2 6 3 3 6 6 1 6 2 4 3 2 4 1 6 6 5 3 5 5 3 3 4 2 4 1 3 4 3
## [73945] 4 4 3 3 2 2 3 2 3 6 2 1 2 3 2 2 4 6 4 4 4 2 6 1 3 6 2 1 2 6 3 4 3 3 3 4
## [73981] 5 4 5 3 2 6 2 2 6 3 3 3 4 4 2 3 2 6 4 6 3 3 3 2 4 6 4 4 3 3 6 2 1 4 4 3
## [74017] 6 6 3 3 1 4 4 3 3 2 6 4 2 3 1 2 3 3 2 5 3 5 3 3 2 6 5 3 4 3 3 2 3 6 4 6
## [74053] 2 4 4 4 5 2 3 3 2 3 1 5 3 5 3 6 3 1 2 6 3 5 1 4 1 3 4 3 6 3 6 3 1 3 5 3
## [74089] 6 4 3 2 4 2 3 4 3 4 3 6 6 3 3 3 3 6 3 2 2 6 6 3 4 3 3 2 4 6 6 3 2 2 4 1
## [74125] 3 6 3 6 6 3 3 1 4 2 6 1 6 4 5 3 3 6 3 2 2 6 2 3 6 1 4 6 3 4 3 3 3 3 2 3
## [74161] 6 6 6 3 3 1 2 4 6 4 4 3 6 4 4 6 5 5 4 2 4 2 2 2 2 3 3 6 6 3 2 6 4 4 1 6
## [74197] 6 3 6 1 3 4 6 3 1 6 4 4 2 1 3 3 4 2 3 2 1 6 3 2 3 3 6 2 4 4 5 3 2 2 6 4
## [74233] 3 1 6 4 4 3 6 3 4 6 3 4 2 6 1 4 2 3 3 5 3 2 3 6 1 4 4 6 6 5 2 4 4 4 1 6
## [74269] 5 3 3 5 2 1 3 3 3 3 6 3 6 2 3 3 3 2 3 6 6 2 4 2 4 1 6 2 1 2 3 6 2 6 3 4
## [74305] 6 6 2 4 6 2 4 2 2 4 2 5 4 4 3 3 2 4 2 4 3 5 3 6 1 5 3 3 6 4 6 2 5 1 4 4
## [74341] 3 3 3 4 4 3 3 1 4 2 3 2 6 2 3 4 3 3 4 6 3 2 3 3 3 4 4 6 3 3 3 4 2 4 2 6
## [74377] 2 1 4 4 5 3 1 3 6 2 2 2 3 2 2 4 3 3 2 3 4 5 3 4 4 2 6 4 2 2 2 3 2 3 4 3
## [74413] 4 2 4 4 3 3 6 4 5 6 6 3 3 2 3 5 4 4 2 4 3 3 2 6 4 3 2 3 4 1 3 4 4 3 2 3
## [74449] 2 3 3 3 4 6 3 1 5 4 2 5 1 3 4 4 1 1 3 6 2 6 4 3 2 4 6 4 3 2 5 6 4 3 6 1
## [74485] 2 3 2 4 4 1 6 6 4 3 2 6 3 3 4 3 6 3 4 6 6 2 4 3 3 6 4 5 1 3 3 3 1 3 6 3
## [74521] 3 4 4 2 6 6 3 4 6 2 4 3 4 3 2 2 3 1 2 6 3 2 4 2 5 1 6 6 5 3 5 6 6 3 3 4
## [74557] 3 2 6 3 3 6 3 3 4 4 3 6 2 3 1 6 6 4 4 3 2 6 3 2 1 3 3 4 4 1 1 4 6 6 6 4
## [74593] 5 1 4 4 1 3 3 6 2 3 4 2 6 6 4 3 4 4 3 2 5 4 2 6 2 6 4 3 4 4 4 6 6 4 3 3
## [74629] 3 3 3 4 4 1 4 3 3 4 3 1 4 3 6 6 1 1 1 6 3 4 3 2 3 6 3 3 6 6 4 3 3 3 6 3
## [74665] 3 3 1 1 6 6 2 4 3 5 3 5 6 4 6 2 4 3 5 6 3 5 6 1 3 3 2 2 4 5 3 4 1 6 5 6
## [74701] 4 4 2 4 4 2 4 4 6 2 4 6 1 4 6 3 1 1 4 3 4 5 1 5 3 4 3 3 3 3 6 3 3 3 2 4
## [74737] 3 4 3 3 2 3 1 3 3 6 3 2 2 6 4 3 2 3 1 1 3 6 3 6 3 3 3 3 4 4 6 2 4 2 6 5
## [74773] 2 6 3 2 6 3 3 3 4 3 4 3 4 1 3 2 3 3 2 3 4 5 4 4 3 3 6 3 3 4 2 3 3 6 4 3
## [74809] 3 3 6 6 1 4 1 5 6 6 3 2 3 6 6 2 3 4 4 3 5 3 3 3 4 3 4 4 4 4 6 4 1 3 6 1
## [74845] 2 2 3 1 4 3 4 1 6 4 4 1 6 4 5 2 6 6 4 2 3 3 2 2 3 2 3 3 2 2 3 3 2 2 3 2
## [74881] 5 1 3 6 2 2 1 3 3 4 3 6 3 2 5 1 5 2 3 6 4 4 2 6 2 6 6 6 1 3 4 4 6 3 6 3
## [74917] 2 4 3 2 2 2 2 1 3 6 6 1 4 4 4 2 5 6 2 6 2 2 4 2 6 3 4 2 3 4 5 3 3 3 1 4
## [74953] 2 6 2 4 3 2 3 3 2 3 3 6 4 1 3 3 1 6 1 4 3 3 6 2 6 2 2 4 5 6 3 4 3 3 3 4
## [74989] 3 2 4 3 4 2 6 3 2 4 3 1 3 1 6 4 1 1 1 2 2 6 2 5 1 4 1 2 1 3 1 3 3 3 3 4
## [75025] 3 3 6 2 3 3 2 3 2 6 1 6 3 2 6 3 2 3 6 3 4 3 5 3 3 3 3 6 2 4 4 6 4 4 4 6
## [75061] 3 1 6 4 3 3 4 4 3 6 6 3 6 2 4 4 4 6 3 6 4 6 3 6 6 2 6 2 3 4 3 6 4 4 6 2
## [75097] 6 6 6 3 1 3 2 4 1 3 6 6 6 3 3 2 3 6 3 4 6 6 3 3 2 3 2 2 4 4 6 6 2 5 2 1
## [75133] 2 1 3 6 6 4 2 2 6 2 1 5 1 3 4 1 6 1 3 6 2 3 2 3 3 4 2 3 4 4 6 2 6 3 3 3
## [75169] 1 3 3 3 2 3 3 3 3 6 2 1 4 2 4 6 2 4 6 3 1 1 4 3 4 2 4 3 6 1 2 5 4 3 6 4
## [75205] 4 2 2 6 5 1 6 4 2 4 3 2 4 3 3 6 2 2 3 5 4 3 1 5 6 2 3 2 4 1 4 6 6 4 3 6
## [75241] 3 1 4 3 4 1 6 2 3 3 5 5 4 1 3 4 4 6 1 4 4 3 6 4 2 3 6 4 4 4 4 4 3 6 1 6
## [75277] 1 3 1 3 5 3 3 6 3 2 4 3 4 4 3 2 3 6 6 2 3 4 2 1 4 3 3 4 4 3 4 6 3 4 2 6
## [75313] 4 2 6 6 2 3 6 3 5 2 2 2 4 3 1 3 6 4 6 6 6 3 2 5 5 4 2 4 6 3 2 6 6 3 5 6
## [75349] 3 6 4 4 4 3 3 3 3 5 3 6 6 6 6 2 6 3 3 1 3 3 2 3 6 3 1 3 3 3 3 2 2 3 4 1
## [75385] 3 3 3 5 3 1 4 6 6 4 4 4 4 4 4 3 2 3 2 5 3 3 2 2 3 3 6 4 3 3 6 6 3 4 2 6
## [75421] 6 3 3 6 4 6 3 3 3 3 2 6 6 4 3 2 3 6 4 3 4 2 3 3 3 6 3 3 1 4 2 1 6 3 4 3
## [75457] 6 3 4 1 1 3 2 3 4 3 6 3 6 3 3 3 6 3 4 3 2 1 3 5 4 3 3 5 1 3 6 2 6 3 2 3
## [75493] 1 2 4 3 3 2 2 3 3 3 5 1 4 4 3 5 3 3 2 4 6 1 3 6 3 6 3 6 2 2 3 6 2 4 2 2
## [75529] 6 6 4 3 4 3 2 3 2 4 2 1 3 6 3 3 4 4 4 2 6 4 2 3 3 4 3 2 3 4 3 2 3 3 3 3
## [75565] 3 3 3 4 3 2 3 6 6 1 4 4 3 4 6 2 4 2 6 6 4 1 5 4 3 6 3 3 2 1 2 6 5 3 6 6
## [75601] 2 3 3 4 1 3 2 4 1 4 5 3 3 3 6 1 3 4 4 2 3 2 4 4 1 1 3 3 3 6 3 6 3 6 6 2
## [75637] 6 3 3 6 1 6 6 2 3 2 3 4 5 3 6 3 4 4 4 1 5 3 6 5 1 3 6 1 1 2 4 2 3 3 6 3
## [75673] 6 2 4 6 3 2 5 4 3 6 3 6 4 3 4 6 6 3 6 3 3 3 2 2 6 5 4 1 2 6 4 6 4 4 3 3
## [75709] 3 4 4 3 4 3 4 5 6 3 2 6 3 1 4 6 3 3 4 4 6 4 2 3 3 2 4 2 4 3 4 3 6 6 5 2
## [75745] 1 1 3 2 3 1 5 2 2 1 4 4 4 3 6 3 3 2 5 6 6 4 6 2 4 6 1 2 1 2 2 3 4 6 1 4
## [75781] 3 4 6 4 4 6 3 2 2 5 4 2 4 4 6 4 5 4 4 2 2 6 3 1 6 4 3 6 3 2 1 2 3 5 3 6
## [75817] 5 6 6 6 6 6 2 3 3 1 3 3 5 2 3 2 4 3 6 1 6 2 3 6 3 2 2 2 5 3 4 3 4 4 3 4
## [75853] 4 6 6 3 1 2 4 3 2 3 6 6 6 3 3 4 3 3 6 6 1 4 3 6 2 6 3 3 1 3 1 2 4 1 5 6
## [75889] 4 4 3 6 3 6 3 6 5 6 2 6 4 4 5 4 4 3 2 4 3 6 1 4 3 4 2 2 1 3 4 2 1 1 4 3
## [75925] 4 6 3 6 3 4 4 3 4 2 6 2 2 6 3 6 2 3 5 1 6 6 1 3 4 4 1 4 2 3 1 3 3 4 6 2
## [75961] 5 3 6 6 6 3 3 3 6 1 4 6 3 2 2 3 3 1 3 2 4 6 4 6 4 2 4 6 3 6 3 4 2 4 1 3
## [75997] 6 3 4 3 3 4 2 4 3 6 6 3 6 6 2 4 3 4 1 6 3 3 6 4 3 3 2 6 4 2 5 3 3 1 4 4
## [76033] 4 6 3 3 4 4 2 3 6 3 3 3 6 1 1 2 6 1 2 1 6 4 1 3 6 3 4 3 3 3 5 6 3 6 2 3
## [76069] 2 3 3 6 4 2 5 4 4 1 3 1 3 1 2 4 3 6 5 2 4 3 6 2 4 2 1 3 2 1 4 3 6 5 3 4
## [76105] 3 2 2 1 6 3 3 3 6 6 3 6 6 6 4 4 5 3 2 4 2 3 3 3 2 3 3 3 4 3 3 3 3 6 4 3
## [76141] 1 3 6 3 1 4 4 3 3 4 6 5 3 4 3 4 6 2 3 1 6 6 3 6 4 3 2 1 6 6 2 6 1 3 2 6
## [76177] 1 1 1 4 1 5 3 2 4 6 2 1 3 2 3 3 4 3 2 3 2 2 3 3 2 3 6 4 6 2 3 2 1 4 4 4
## [76213] 2 2 6 6 4 4 3 3 6 3 1 3 5 3 2 6 3 3 3 6 1 2 4 3 3 6 4 3 3 4 4 3 4 4 3 6
## [76249] 6 1 4 4 3 6 2 6 3 2 2 1 2 3 2 6 1 2 6 1 3 2 2 3 4 1 6 1 5 6 6 5 3 4 6 3
## [76285] 3 4 3 2 4 6 3 3 5 4 6 5 6 4 3 4 3 3 3 1 6 2 3 4 3 3 3 3 3 3 4 3 3 1 6 1
## [76321] 1 4 1 6 1 4 5 1 1 6 5 3 3 4 3 3 2 6 6 4 2 3 5 6 4 6 2 3 3 1 2 3 6 4 4 2
## [76357] 3 4 2 3 3 2 6 6 1 4 1 3 1 3 3 4 3 4 3 2 3 6 6 6 4 1 4 2 2 3 3 2 2 4 3 4
## [76393] 2 5 2 3 4 3 6 2 1 3 6 4 3 6 3 4 4 6 3 3 3 4 3 3 6 3 6 3 6 3 2 3 1 3 3 3
## [76429] 6 3 4 4 3 3 5 4 4 6 6 3 6 6 6 3 2 4 4 4 6 2 4 3 3 2 4 4 1 6 3 5 4 4 3 4
## [76465] 6 3 4 3 5 6 4 3 4 4 4 3 1 1 2 2 4 3 3 3 3 2 3 3 2 4 3 3 4 3 6 2 3 3 3 1
## [76501] 4 6 4 2 2 2 2 1 6 6 4 4 3 4 3 2 6 2 4 6 3 3 2 3 2 3 6 1 1 3 1 3 2 3 3 2
## [76537] 6 3 1 2 3 6 6 6 3 2 2 2 1 3 2 4 3 6 1 3 4 2 2 2 3 3 6 1 6 2 2 4 6 3 1 4
## [76573] 4 6 1 3 2 1 1 6 6 4 5 1 1 3 3 4 5 4 2 4 6 2 3 4 1 4 4 4 3 6 5 6 6 2 6 3
## [76609] 2 4 6 3 3 3 2 2 2 4 6 3 2 2 4 6 2 2 2 6 2 6 3 1 2 3 1 4 4 3 3 4 3 1 3 4
## [76645] 2 6 2 3 2 3 3 2 6 2 6 5 2 3 3 3 3 6 1 3 3 4 1 3 3 4 6 2 3 4 3 1 1 6 5 6
## [76681] 4 2 3 6 3 3 3 1 4 3 1 3 3 3 4 3 4 6 2 3 6 5 6 4 3 6 5 3 4 4 4 2 4 1 4 2
## [76717] 6 6 2 3 4 3 4 2 3 2 6 6 6 6 3 3 3 5 4 3 1 1 4 6 1 3 6 6 3 4 3 2 3 3 4 3
## [76753] 2 3 4 6 4 3 3 3 2 4 1 6 1 2 2 2 3 3 4 1 3 2 2 2 6 6 5 4 3 3 5 6 4 3 4 2
## [76789] 3 2 4 3 3 3 3 6 3 3 2 3 3 1 2 2 6 3 4 3 4 6 3 2 2 1 2 4 6 4 5 6 5 2 4 3
## [76825] 6 4 6 3 6 1 2 3 3 3 6 6 3 3 6 1 3 6 3 3 3 3 3 2 2 3 2 4 5 6 2 4 6 3 4 1
## [76861] 3 2 3 3 4 6 4 4 6 3 6 4 2 3 3 6 3 6 5 3 1 4 3 1 6 4 5 1 4 3 4 4 6 3 4 4
## [76897] 3 6 2 3 2 3 6 6 3 4 2 5 1 4 4 3 3 3 2 1 3 4 6 2 3 3 3 6 5 2 2 4 3 3 6 6
## [76933] 3 1 2 2 3 3 6 4 4 3 2 4 6 2 6 6 4 5 2 2 6 3 3 3 2 4 4 1 4 2 4 1 1 5 2 6
## [76969] 6 4 6 4 4 6 4 2 6 4 3 3 3 6 6 6 3 4 3 2 4 2 2 3 2 6 6 3 3 6 3 3 3 3 3 3
## [77005] 6 6 4 3 2 3 6 3 4 5 3 2 3 6 2 6 6 4 3 3 2 4 1 2 4 3 3 3 2 4 3 5 3 3 3 6
## [77041] 1 1 4 3 4 6 3 3 4 3 4 6 2 2 3 3 3 1 3 6 2 2 2 6 6 4 6 2 3 2 3 5 3 3 3 3
## [77077] 6 3 4 3 2 3 3 3 3 4 2 6 5 1 4 6 6 2 3 3 3 6 4 3 6 5 3 6 6 4 6 4 2 6 2 3
## [77113] 4 6 4 4 6 4 6 3 2 2 2 1 2 4 3 4 6 4 3 1 3 2 6 6 3 2 4 1 6 2 3 3 6 3 3 5
## [77149] 3 3 3 6 5 3 6 6 6 3 6 4 3 6 4 1 1 2 3 1 4 3 4 5 2 3 6 4 1 1 6 3 4 3 2 6
## [77185] 2 3 3 2 6 2 2 3 6 4 6 6 6 4 3 3 6 3 6 4 6 4 3 3 6 6 3 3 2 4 4 2 3 3 6 6
## [77221] 6 3 3 1 4 2 1 4 5 3 5 3 3 5 2 2 6 3 2 4 5 6 3 3 3 2 2 2 4 3 3 3 2 2 3 1
## [77257] 3 3 3 3 3 1 1 4 6 2 1 2 4 3 1 4 3 3 1 3 6 5 5 3 6 6 5 3 2 3 4 6 2 2 1 6
## [77293] 1 4 3 1 6 2 3 3 2 4 4 2 6 3 4 2 3 3 4 4 4 4 5 3 3 6 2 3 3 2 3 3 4 3 2 4
## [77329] 3 1 2 2 6 6 6 4 3 4 4 6 6 1 4 6 3 4 3 2 3 2 3 6 1 4 4 6 3 2 4 3 4 4 6 2
## [77365] 3 3 3 3 2 6 3 2 4 3 4 2 3 6 2 3 4 4 6 4 2 3 6 2 3 3 4 6 3 3 3 1 4 3 2 2
## [77401] 2 3 6 3 3 2 6 3 6 3 1 6 4 4 5 6 3 3 3 3 3 6 2 4 1 4 5 2 6 6 6 4 2 6 1 6
## [77437] 2 1 2 4 3 4 3 6 2 5 6 4 3 4 1 3 3 6 3 4 1 1 4 3 3 1 3 3 2 3 2 4 6 6 3 4
## [77473] 3 2 3 2 6 2 3 6 4 3 2 2 4 2 4 2 4 3 6 4 3 1 1 3 6 2 3 6 3 1 3 3 2 3 6 2
## [77509] 1 6 2 2 6 6 2 6 3 4 3 6 5 6 3 3 2 1 6 4 4 6 6 4 4 3 3 2 3 6 4 1 6 3 4 4
## [77545] 6 6 3 3 3 4 6 4 6 2 4 4 6 4 2 4 6 3 4 2 6 3 5 1 4 2 1 1 3 2 3 6 4 3 3 1
## [77581] 2 4 3 3 2 1 4 4 3 3 3 6 3 4 5 3 1 4 3 3 4 4 4 5 6 4 3 3 3 2 6 3 5 2 6 3
## [77617] 4 2 5 2 6 6 6 2 3 4 3 4 6 3 3 6 2 4 6 3 1 3 2 4 3 2 2 3 3 3 4 6 6 3 6 3
## [77653] 5 2 6 2 6 5 2 6 3 2 4 3 4 6 3 4 5 3 1 2 6 3 3 3 4 6 3 6 3 1 4 6 5 2 5 3
## [77689] 6 2 3 2 5 6 5 3 3 6 6 3 6 4 3 3 1 5 3 4 4 1 4 3 3 1 1 4 1 4 4 4 1 3 5 4
## [77725] 3 6 5 3 2 4 6 3 6 6 4 1 2 3 4 1 2 3 3 3 2 2 2 3 3 3 6 3 2 4 3 6 6 2 2 2
## [77761] 1 4 4 6 2 2 4 3 3 1 2 3 2 5 6 6 2 6 5 4 3 1 6 1 6 4 3 2 3 1 4 6 6 2 1 3
## [77797] 2 5 3 4 4 2 3 3 3 3 4 3 4 6 3 6 3 4 1 3 2 4 2 6 6 3 1 3 4 1 3 4 5 1 4 3
## [77833] 3 4 1 3 4 2 6 4 3 2 3 3 4 3 4 1 6 6 1 1 4 5 5 6 4 4 6 3 4 4 6 6 3 3 6 6
## [77869] 3 1 3 3 2 4 3 3 2 3 3 3 1 2 4 6 3 4 3 6 3 6 2 3 4 6 3 2 4 1 3 2 4 3 4 2
## [77905] 3 2 1 1 4 3 4 2 3 6 2 4 4 4 2 1 3 4 2 3 6 2 3 3 2 4 2 6 4 3 4 6 6 1 4 6
## [77941] 4 4 3 3 6 4 5 5 4 3 1 2 3 5 3 4 6 4 5 3 6 3 2 5 3 3 3 1 3 6 2 4 4 4 3 2
## [77977] 6 5 3 2 6 5 1 4 4 1 4 5 1 1 6 3 3 4 4 5 5 3 3 2 5 3 2 3 3 4 5 6 4 3 3 2
## [78013] 3 4 6 1 1 3 1 3 5 6 6 5 6 4 4 6 4 3 2 4 4 1 4 3 1 6 4 4 2 3 4 6 2 6 4 1
## [78049] 4 3 2 3 6 3 1 4 4 3 4 3 5 4 3 3 3 4 1 3 6 4 6 6 2 5 4 3 3 2 2 2 3 3 6 4
## [78085] 3 2 5 2 6 6 3 3 3 3 6 4 6 6 3 3 4 4 5 4 3 1 3 2 6 4 3 4 5 4 3 4 3 3 4 4
## [78121] 6 3 1 3 4 3 6 1 3 6 6 4 4 1 6 5 1 4 5 4 6 3 3 5 4 4 4 2 1 1 2 3 3 6 4 4
## [78157] 3 5 1 6 3 6 3 3 3 6 6 4 6 6 1 2 1 6 4 6 4 6 3 2 2 3 5 5 2 1 6 5 4 3 6 4
## [78193] 3 3 3 2 3 3 3 4 6 3 5 2 6 3 1 4 1 6 4 3 4 3 2 6 3 6 3 6 4 3 2 2 3 4 5 3
## [78229] 3 3 4 3 3 2 4 4 2 2 5 4 1 3 3 6 6 3 2 3 3 2 2 4 4 3 3 2 3 3 6 3 3 2 3 6
## [78265] 3 3 5 6 6 6 4 1 6 6 4 3 2 4 3 6 4 3 2 1 3 3 6 6 2 6 2 5 4 6 4 1 4 4 4 4
## [78301] 6 6 3 3 1 3 3 6 6 3 4 4 4 6 3 4 2 3 3 3 4 4 4 5 1 1 1 3 1 4 4 4 6 3 6 3
## [78337] 2 4 4 2 6 3 5 2 3 2 6 6 6 3 3 1 2 2 6 5 6 3 5 6 2 2 2 3 3 3 3 3 6 4 6 3
## [78373] 4 6 3 3 3 2 3 2 3 6 2 2 3 3 2 3 1 4 3 3 1 1 2 1 4 3 4 3 2 3 6 6 3 2 2 6
## [78409] 6 2 4 6 3 6 6 6 2 4 3 6 2 4 3 3 3 1 3 3 2 2 6 4 4 3 3 6 4 5 4 4 4 4 2 3
## [78445] 4 5 2 6 6 4 4 4 1 4 3 3 2 4 3 4 2 5 3 3 6 6 4 4 4 6 6 1 6 4 2 2 3 1 2 1
## [78481] 3 4 6 3 2 3 4 4 3 4 6 3 4 2 3 6 6 3 3 6 4 6 3 4 3 2 2 2 6 1 3 6 2 3 6 3
## [78517] 3 2 6 4 3 2 6 2 6 3 5 6 4 3 2 3 1 5 3 4 3 2 4 4 3 2 2 4 4 2 6 5 3 3 3 4
## [78553] 3 2 6 3 6 4 1 3 2 1 6 6 3 1 4 1 5 3 1 2 4 6 4 1 4 2 3 4 3 6 2 2 2 4 2 3
## [78589] 2 4 6 2 3 2 4 3 6 3 3 3 3 3 4 3 3 3 6 3 6 3 3 4 3 3 4 4 6 3 4 6 6 3 6 2
## [78625] 3 1 3 1 3 6 6 6 3 3 2 4 2 6 4 4 2 3 2 2 4 2 3 3 6 1 4 6 3 4 6 3 4 1 6 4
## [78661] 1 4 6 1 4 3 6 3 3 3 2 6 4 1 1 6 3 3 3 4 3 1 3 3 5 4 4 6 6 3 4 3 3 3 6 2
## [78697] 1 4 1 3 6 4 3 2 3 2 4 2 3 2 2 4 3 4 6 6 2 3 5 3 3 4 4 4 3 6 3 6 2 6 2 5
## [78733] 6 4 3 3 6 3 3 2 6 3 4 2 2 4 3 3 3 1 1 6 2 2 3 2 6 6 2 4 3 3 6 3 3 4 4 5
## [78769] 4 3 2 1 2 1 2 1 3 4 4 3 4 6 4 6 2 4 1 3 6 6 3 6 3 6 3 5 1 6 4 1 6 6 2 6
## [78805] 2 3 6 6 6 6 3 3 1 6 2 6 2 3 3 3 6 2 6 5 5 2 6 2 2 3 3 1 6 2 3 4 2 3 6 3
## [78841] 1 3 2 4 5 3 4 4 3 3 3 6 6 2 3 4 2 3 3 6 6 1 3 6 3 4 4 1 3 1 3 5 6 2 6 4
## [78877] 1 4 4 4 6 3 1 4 1 6 3 2 3 6 5 2 3 6 3 1 2 6 1 3 1 1 3 4 6 1 1 4 3 3 6 5
## [78913] 3 5 1 6 3 5 3 4 3 6 1 3 1 4 5 5 5 1 5 4 6 5 5 5 6 2 6 3 2 4 3 4 3 6 3 3
## [78949] 6 3 2 4 2 3 4 3 5 2 3 6 4 3 2 5 3 4 6 2 4 3 3 3 2 3 6 3 1 5 3 3 2 4 6 2
## [78985] 1 2 3 3 2 2 3 4 6 3 3 2 6 1 1 5 6 6 3 3 2 4 4 2 4 3 4 6 4 6 6 6 3 1 2 1
## [79021] 6 6 3 2 6 3 6 3 3 4 4 3 2 6 2 2 3 4 3 6 5 2 3 2 3 3 1 3 1 6 3 2 3 4 3 5
## [79057] 3 4 6 3 2 6 2 4 5 6 6 6 6 1 2 3 2 6 3 3 3 3 4 1 4 2 3 3 1 5 2 6 2 3 6 3
## [79093] 1 3 3 5 3 3 2 6 3 3 3 1 6 3 4 3 3 3 4 3 4 2 3 4 4 4 3 1 6 2 4 2 5 4 3 3
## [79129] 3 6 5 3 3 4 1 5 4 2 6 3 3 2 3 3 4 5 1 6 1 3 4 2 6 6 6 3 2 4 6 6 1 6 6 5
## [79165] 3 4 4 5 1 3 2 3 6 3 6 3 6 2 3 5 4 3 4 3 2 3 2 1 3 1 5 1 1 4 1 1 6 2 3 1
## [79201] 1 1 3 3 3 4 2 3 2 4 3 3 4 5 4 4 1 4 2 3 3 4 3 4 5 4 3 3 3 5 3 4 3 3 6 3
## [79237] 5 1 2 3 3 3 3 6 6 3 2 3 5 4 1 2 2 3 3 4 6 3 2 3 3 1 1 1 2 3 5 6 2 3 6 3
## [79273] 4 6 3 1 4 5 1 4 3 3 3 6 6 4 1 3 4 2 4 4 3 3 4 6 1 3 3 4 4 2 4 3 3 3 3 3
## [79309] 4 4 6 6 3 2 3 6 1 2 6 3 1 3 6 4 4 3 4 2 2 6 3 6 1 6 6 6 5 1 1 1 2 6 1 5
## [79345] 3 3 4 6 1 2 3 4 1 2 3 3 4 3 3 2 2 3 4 6 6 2 4 6 2 6 5 2 3 6 4 2 4 4 3 3
## [79381] 3 3 6 1 3 3 2 6 3 2 2 2 1 4 2 4 2 4 4 6 1 3 6 1 6 2 2 4 6 3 4 1 6 4 4 6
## [79417] 3 3 5 6 3 6 5 6 4 6 4 6 2 6 1 4 3 1 5 3 6 4 3 5 3 3 6 3 4 4 4 4 1 3 1 2
## [79453] 1 2 6 5 1 3 4 4 3 3 3 5 6 6 3 2 3 1 3 2 3 4 4 3 6 1 4 1 3 1 6 5 2 1 6 1
## [79489] 1 4 3 4 2 3 3 6 3 5 5 3 1 3 1 6 6 4 3 1 6 6 2 3 3 3 2 2 3 2 3 2 6 6 2 5
## [79525] 5 2 3 4 2 6 4 3 4 3 2 2 4 3 3 3 3 3 3 2 3 3 2 4 1 1 3 6 3 2 4 6 3 3 2 1
## [79561] 3 2 3 1 6 2 6 4 3 3 6 3 5 1 6 6 4 1 3 3 2 4 1 3 4 3 4 1 6 6 6 6 1 2 6 3
## [79597] 2 3 3 4 3 4 3 3 2 1 2 6 2 6 3 3 5 6 6 4 4 3 3 4 1 3 2 6 3 3 4 2 6 1 4 2
## [79633] 5 3 2 3 6 1 3 5 6 3 3 3 4 1 5 4 3 2 6 3 2 2 5 6 3 4 4 6 4 6 3 3 4 3 2 1
## [79669] 4 2 4 3 6 3 1 4 2 3 4 2 3 4 3 1 3 2 3 3 2 4 6 1 1 3 3 1 5 6 4 2 4 2 4 3
## [79705] 3 2 3 6 5 4 3 4 3 3 2 2 6 2 4 6 5 3 3 4 4 6 4 3 3 3 3 3 3 4 3 3 3 3 3 2
## [79741] 5 2 6 2 3 6 3 4 3 3 3 5 2 1 6 3 2 4 4 6 2 3 2 3 4 3 3 3 4 6 3 6 3 3 2 3
## [79777] 6 3 4 1 3 3 3 3 3 6 3 6 3 4 3 3 3 3 2 2 4 3 3 4 4 3 2 3 5 4 1 3 3 2 2 5
## [79813] 6 4 4 6 2 5 6 4 2 3 3 6 6 4 4 6 3 3 5 3 5 4 1 6 3 6 2 3 1 6 2 6 4 6 4 6
## [79849] 6 3 5 6 6 1 3 3 4 6 3 1 2 3 3 1 6 6 1 4 5 2 2 1 4 3 6 2 3 4 6 6 3 5 1 2
## [79885] 3 6 3 6 6 3 6 3 6 4 4 3 1 3 1 3 2 1 1 4 4 4 3 6 2 1 1 2 3 1 1 3 2 3 3 1
## [79921] 6 6 6 3 2 4 2 3 2 1 3 4 3 4 3 3 2 2 5 3 6 3 4 3 3 6 1 4 3 3 3 2 3 4 3 2
## [79957] 3 1 3 3 3 4 2 6 3 3 3 2 2 4 3 3 4 4 2 4 1 6 6 3 3 2 1 5 3 4 2 4 6 2 5 3
## [79993] 2 4 6 2 3 2 4 5 1 6 3 1 2 4 1 4 6 3 4 3 6 3 3 4 3 2 6 3 2 2 2 3 4 3 3 4
## [80029] 4 3 4 6 2 4 3 6 1 2 4 1 4 3 2 3 3 6 3 3 1 6 2 1 2 1 1 4 2 4 3 6 6 6 1 3
## [80065] 3 1 3 3 6 3 2 2 2 4 3 6 6 3 2 3 6 6 3 2 4 4 2 4 5 4 3 4 2 4 4 4 3 1 3 2
## [80101] 3 6 3 2 3 6 4 1 6 2 1 2 2 3 4 6 1 1 6 6 3 3 5 3 2 3 3 4 6 3 4 4 3 4 6 3
## [80137] 3 6 4 4 3 4 4 2 2 1 2 4 4 2 6 3 6 4 6 6 4 4 3 3 6 4 4 4 5 4 1 1 1 1 4 3
## [80173] 3 1 3 1 5 4 3 3 3 3 1 6 6 2 4 6 2 6 1 3 6 4 1 3 6 4 4 4 2 4 4 3 2 3 1 2
## [80209] 2 5 6 3 6 2 3 6 2 3 6 2 3 3 2 5 2 2 2 3 2 3 6 4 6 2 2 3 4 3 5 3 3 4 3 3
## [80245] 6 3 3 6 6 4 4 3 1 1 6 2 3 3 3 3 4 6 5 6 3 3 3 3 4 1 1 3 6 3 1 4 4 3 4 2
## [80281] 1 3 4 1 2 4 6 3 2 2 4 4 2 3 2 2 4 2 6 3 3 2 3 4 3 2 2 4 3 4 2 4 2 3 4 6
## [80317] 6 2 6 6 4 1 5 6 1 4 4 2 4 2 3 2 6 1 4 6 6 6 2 2 3 3 3 3 2 5 4 6 3 3 1 3
## [80353] 1 6 3 6 6 6 2 3 3 4 2 3 3 3 2 5 4 6 6 3 2 3 3 4 1 3 6 5 5 3 6 1 2 3 3 2
## [80389] 3 2 6 6 2 3 3 3 1 3 6 6 3 4 1 6 6 6 6 6 4 4 3 6 3 1 4 2 4 3 3 3 3 6 4 3
## [80425] 4 1 6 3 2 3 1 6 2 3 6 4 5 3 4 4 3 1 3 4 5 3 4 4 1 1 3 3 3 6 4 3 2 3 6 6
## [80461] 3 1 3 6 1 3 3 6 6 2 3 5 4 4 3 4 6 2 1 2 3 1 1 5 1 5 3 3 6 3 3 4 2 3 3 3
## [80497] 4 4 3 4 4 3 3 3 5 2 3 3 3 6 1 4 4 4 4 2 4 3 1 3 3 3 1 4 2 6 3 3 4 2 3 4
## [80533] 6 6 6 3 3 6 6 2 6 2 6 3 3 6 6 6 1 3 3 3 2 4 4 1 6 4 4 5 2 6 1 1 6 3 6 3
## [80569] 6 6 3 4 3 1 3 4 3 4 5 4 4 4 1 4 5 6 1 1 5 5 4 1 3 6 3 3 2 6 6 4 5 6 3 3
## [80605] 3 4 3 6 3 6 6 1 2 2 5 6 2 6 3 5 4 4 3 3 3 1 1 3 6 3 4 6 2 4 3 2 4 4 2 4
## [80641] 3 2 4 3 3 4 4 3 4 3 4 6 3 6 6 3 6 1 4 6 1 3 1 5 3 3 6 6 6 2 6 6 3 1 6 2
## [80677] 4 3 4 1 6 2 4 4 4 6 4 4 2 2 1 2 6 4 4 6 5 6 3 3 4 2 1 6 6 3 1 3 6 3 3 6
## [80713] 6 4 3 6 4 4 6 3 3 2 3 3 6 3 6 4 2 2 2 3 6 6 4 4 1 1 2 3 4 4 1 2 3 3 3 3
## [80749] 3 3 3 3 3 6 2 4 3 3 3 6 3 2 3 6 2 1 3 3 4 3 5 3 6 3 3 3 6 6 4 3 6 1 2 4
## [80785] 3 2 3 6 4 3 3 2 3 2 6 6 1 6 6 1 6 2 6 5 1 4 2 6 4 1 4 5 2 4 2 2 1 2 6 1
## [80821] 6 3 3 2 4 2 2 1 2 4 3 2 6 6 3 3 3 6 3 1 6 3 6 2 6 5 1 3 4 4 3 5 3 3 6 1
## [80857] 2 3 2 3 2 4 6 2 4 6 4 6 6 2 2 1 3 3 4 3 5 4 1 4 3 5 3 3 3 6 4 6 3 1 2 3
## [80893] 5 2 6 3 3 6 1 5 3 1 3 2 6 4 4 3 2 6 3 6 6 3 4 3 3 4 6 3 6 3 4 6 4 4 2 2
## [80929] 3 4 3 4 3 3 4 3 3 3 6 6 6 6 4 4 3 6 4 5 3 2 4 6 3 6 3 4 6 3 4 5 3 3 5 4
## [80965] 3 3 2 4 3 4 6 4 4 4 3 3 4 3 2 3 2 3 3 3 5 6 4 4 4 5 3 6 1 3 6 3 3 6 2 3
## [81001] 3 1 3 2 2 3 3 2 4 6 2 3 3 4 4 4 3 3 3 4 2 5 4 3 4 2 5 1 6 3 5 6 1 4 3 4
## [81037] 5 2 2 2 4 6 6 2 3 6 3 3 3 3 2 6 3 6 3 6 2 3 3 3 4 2 1 4 1 2 6 3 3 2 3 6
## [81073] 4 4 4 6 6 4 1 4 4 4 2 1 5 3 4 6 3 3 4 2 3 3 3 4 6 2 3 3 6 2 3 6 6 4 5 4
## [81109] 3 2 6 3 3 3 3 6 3 5 2 4 6 3 2 6 3 4 4 2 4 6 2 2 6 3 4 2 3 3 2 4 4 2 5 3
## [81145] 6 5 5 6 3 4 3 3 2 2 3 2 3 1 6 4 1 4 4 4 4 6 3 1 2 2 3 4 1 2 4 6 3 6 3 4
## [81181] 3 1 4 4 4 5 1 1 2 1 5 3 3 4 4 3 3 3 4 4 1 2 3 3 4 6 3 6 1 3 6 3 2 2 6 3
## [81217] 3 1 4 1 3 3 2 3 2 3 1 6 6 5 2 6 3 3 3 3 2 6 6 6 4 6 4 3 1 4 3 1 2 3 2 6
## [81253] 3 4 2 2 3 3 3 1 2 4 4 2 6 3 1 3 1 2 6 3 3 3 4 6 3 3 1 4 5 3 6 4 6 3 2 1
## [81289] 2 6 4 3 3 6 3 3 6 3 2 3 4 4 2 2 3 2 3 4 6 6 5 3 6 3 4 1 1 3 4 2 3 4 1 3
## [81325] 2 6 6 3 6 4 3 6 6 3 3 3 3 4 3 6 5 3 2 3 2 4 1 6 4 3 1 1 5 4 3 2 6 3 6 1
## [81361] 6 1 6 3 3 3 4 3 4 1 6 4 3 4 4 5 3 2 3 2 2 6 6 6 4 3 6 2 2 6 4 2 6 5 3 6
## [81397] 1 3 3 1 3 3 6 2 4 6 5 2 1 3 3 6 6 6 4 3 3 6 2 3 6 4 4 3 2 3 1 4 2 3 3 6
## [81433] 6 4 1 3 3 3 3 2 6 3 6 2 4 6 2 6 5 2 6 6 6 2 6 3 6 4 1 6 5 3 3 3 3 2 2 3
## [81469] 3 3 3 3 3 4 2 3 6 4 3 4 2 1 3 6 2 3 1 6 1 2 6 2 3 3 4 3 3 3 1 6 1 3 4 6
## [81505] 6 6 6 1 6 2 2 3 3 2 3 3 2 4 6 6 6 3 4 6 3 6 3 3 3 4 2 3 1 1 6 5 3 6 3 6
## [81541] 3 3 1 3 3 6 2 3 1 3 2 3 6 3 1 4 3 6 4 3 3 6 1 6 3 3 1 3 4 3 5 2 1 4 4 6
## [81577] 3 4 3 3 2 3 3 3 6 4 3 6 4 2 6 6 3 3 2 3 3 4 6 3 3 3 3 3 3 6 5 6 1 6 6 4
## [81613] 5 2 3 2 1 2 3 3 6 3 6 6 3 2 2 4 4 4 4 6 2 2 4 4 5 1 6 5 4 2 6 5 3 6 2 3
## [81649] 5 2 6 2 5 6 6 3 3 4 4 2 6 4 1 2 4 6 5 6 4 4 4 6 1 3 3 6 3 6 6 1 2 1 3 6
## [81685] 6 6 5 4 3 1 6 3 3 6 4 2 6 2 2 6 4 5 3 3 4 4 1 4 2 1 4 1 4 5 1 4 6 4 2 3
## [81721] 3 6 6 6 2 3 2 4 2 4 3 3 6 3 6 3 3 4 3 2 6 4 5 2 2 3 6 6 6 2 2 3 3 6 6 2
## [81757] 6 6 4 6 3 5 3 3 6 1 6 3 3 6 3 6 4 6 3 6 6 4 5 2 3 3 3 1 4 4 6 3 6 6 4 2
## [81793] 6 5 5 5 1 4 4 3 3 2 3 3 4 6 6 1 6 4 3 3 1 4 2 2 6 6 3 4 4 6 3 3 2 4 5 3
## [81829] 6 6 1 6 5 1 3 6 4 6 1 3 6 3 4 3 3 2 3 4 6 5 5 6 4 2 4 3 5 4 6 5 2 3 5 3
## [81865] 6 1 3 3 2 2 3 4 4 3 4 4 3 4 4 3 3 4 6 4 2 6 3 3 5 5 4 6 6 1 2 4 2 3 1 3
## [81901] 4 3 1 3 4 4 6 2 3 3 4 3 3 6 6 1 4 6 3 3 3 2 1 6 6 1 6 3 5 4 3 1 4 6 6 6
## [81937] 6 3 4 1 6 4 6 4 6 3 3 1 3 3 3 6 3 3 3 3 4 6 6 3 3 4 3 2 3 3 4 2 6 1 6 4
## [81973] 3 3 2 4 2 6 3 1 4 6 4 1 4 2 6 4 2 1 3 2 3 6 6 3 3 4 3 6 4 2 4 2 3 4 6 3
## [82009] 4 2 3 6 3 6 3 3 2 6 6 3 2 3 3 6 2 6 2 4 2 4 4 3 3 5 6 1 2 4 3 3 6 4 3 6
## [82045] 6 3 3 1 3 6 6 3 6 2 1 3 5 4 2 4 2 1 3 2 1 4 3 4 4 1 3 2 4 3 3 4 4 3 1 3
## [82081] 6 6 6 2 4 4 6 3 2 3 4 6 3 3 2 3 3 4 4 3 2 4 3 2 3 3 3 2 3 6 3 2 3 3 4 3
## [82117] 1 5 2 3 4 3 3 3 3 3 2 4 2 2 5 2 2 3 2 6 3 3 3 3 2 3 4 3 4 3 4 2 6 4 3 6
## [82153] 2 3 3 2 4 6 3 2 3 3 3 3 6 4 2 6 3 6 6 3 2 2 3 6 3 6 3 2 2 2 4 3 2 2 2 3
## [82189] 5 3 3 6 6 6 6 3 6 6 2 6 3 2 3 1 2 3 4 2 3 2 5 6 3 1 3 3 6 4 5 4 2 6 4 6
## [82225] 2 3 6 2 4 1 6 4 4 1 5 3 1 6 5 1 4 1 4 6 3 2 3 4 4 2 3 6 3 6 2 3 3 1 2 3
## [82261] 6 3 5 3 6 6 6 2 6 3 4 3 5 6 3 4 2 4 2 6 4 1 6 5 4 2 6 5 3 6 2 4 3 2 4 1
## [82297] 6 3 3 6 6 6 3 6 6 2 4 4 4 6 1 2 4 3 3 3 4 5 3 2 3 4 4 3 3 3 2 3 3 3 6 3
## [82333] 3 4 6 3 6 3 2 3 3 6 1 2 1 4 2 3 5 3 3 4 3 6 3 4 3 4 4 4 6 3 1 3 3 4 6 6
## [82369] 3 2 6 3 6 3 4 6 1 3 6 6 6 4 3 6 4 2 6 4 5 1 1 2 1 1 6 4 2 3 3 3 2 2 2 6
## [82405] 6 2 2 6 4 6 3 1 1 3 3 3 6 3 1 3 6 4 6 6 6 4 4 4 2 3 5 6 4 2 6 2 1 3 3 4
## [82441] 6 1 2 4 1 5 1 1 6 3 4 4 3 4 2 6 5 4 6 2 5 5 4 6 4 6 6 2 4 3 3 3 4 4 2 3
## [82477] 3 5 3 3 4 6 3 3 3 3 3 3 2 3 3 3 6 2 4 6 3 5 2 4 3 1 2 6 5 6 3 4 4 3 2 1
## [82513] 3 2 3 6 4 3 3 4 2 3 2 6 3 3 6 3 1 1 6 4 1 3 6 4 4 3 3 6 3 3 3 5 4 3 2 3
## [82549] 2 3 4 2 2 6 4 2 6 3 2 2 6 4 3 6 3 3 3 3 3 5 6 4 6 6 3 4 3 3 4 5 4 2 3 6
## [82585] 3 3 3 3 6 4 3 3 3 2 2 6 6 4 6 1 3 6 4 3 2 2 6 6 4 3 5 3 5 3 4 2 3 1 6 4
## [82621] 6 6 3 1 2 3 3 4 1 6 2 4 1 5 6 2 3 4 6 4 4 6 2 3 2 3 2 3 6 4 6 4 5 4 2 1
## [82657] 1 3 6 1 4 3 1 3 2 2 3 4 2 4 2 6 3 2 4 6 5 3 5 6 4 3 6 3 4 3 4 3 4 3 2 3
## [82693] 3 2 3 6 6 4 1 3 6 2 1 6 1 6 2 4 4 3 2 2 3 4 5 4 5 4 4 4 2 6 3 3 2 2 4 6
## [82729] 4 2 4 2 4 4 6 3 6 3 3 4 6 3 2 3 1 6 1 1 3 3 3 6 2 4 3 3 4 2 2 3 6 4 3 3
## [82765] 3 3 2 2 4 6 1 3 5 5 4 4 6 4 3 1 4 4 3 4 6 3 3 3 4 3 6 6 3 3 1 6 4 4 3 5
## [82801] 4 3 3 6 3 6 5 2 3 3 3 3 1 3 4 2 2 6 2 2 2 2 3 5 3 1 3 4 6 6 4 1 4 5 1 6
## [82837] 5 1 6 4 4 6 6 6 6 1 5 4 6 6 4 4 6 3 4 2 6 5 4 2 5 6 6 1 6 3 3 4 3 3 3 6
## [82873] 4 6 5 2 6 4 4 3 5 6 2 3 4 3 3 6 2 5 3 1 1 6 3 3 3 4 1 4 3 1 4 4 4 5 4 4
## [82909] 4 3 1 2 2 3 5 1 3 1 4 3 3 1 4 3 3 3 1 6 4 6 5 6 4 3 3 6 2 3 4 3 1 3 4 3
## [82945] 4 2 6 3 6 3 1 1 1 3 2 4 2 6 6 4 4 3 4 4 4 6 4 3 2 4 6 2 3 3 2 3 5 2 4 4
## [82981] 2 4 6 4 6 6 2 2 6 3 3 4 6 3 1 4 3 3 2 2 5 3 2 3 3 3 5 5 2 5 2 3 1 3 2 3
## [83017] 2 3 3 6 2 6 6 6 4 3 6 2 6 1 3 1 1 4 1 4 2 3 2 6 1 4 3 2 2 4 3 2 3 4 4 4
## [83053] 2 5 3 6 4 2 3 2 3 3 4 3 2 5 4 4 4 3 1 4 4 3 6 3 6 4 6 6 3 6 3 3 2 6 5 4
## [83089] 3 2 1 5 4 4 6 1 2 3 3 3 3 4 3 6 5 1 1 1 2 3 3 3 3 4 1 3 2 3 6 3 2 4 4 4
## [83125] 4 6 3 2 3 3 3 2 4 4 3 1 4 6 6 1 4 6 6 5 4 4 6 4 2 1 6 6 3 3 4 4 2 3 6 3
## [83161] 3 5 1 4 3 3 3 4 3 6 3 4 3 4 3 2 3 1 3 4 6 4 4 6 6 6 4 3 5 4 5 1 3 3 2 6
## [83197] 3 3 3 3 3 2 2 2 3 3 6 3 1 2 3 4 3 1 3 6 3 2 6 4 4 2 2 2 2 3 2 3 6 2 3 1
## [83233] 3 6 1 3 2 4 6 3 4 3 5 1 4 4 4 3 4 3 4 4 2 3 4 4 1 3 6 1 2 2 6 4 6 3 2 3
## [83269] 4 6 2 6 4 6 4 2 3 3 6 3 6 6 4 2 4 4 2 3 5 3 3 4 5 3 5 3 6 3 1 6 3 3 6 6
## [83305] 4 1 4 6 1 4 4 5 4 3 4 5 4 3 3 2 3 1 6 6 4 1 4 4 3 1 2 5 3 2 4 6 3 3 1 5
## [83341] 4 4 6 2 5 3 6 2 4 1 2 3 2 5 4 3 2 3 4 3 2 3 3 5 3 6 3 3 3 4 4 3 2 6 3 3
## [83377] 2 2 4 3 4 2 1 2 3 3 4 3 2 6 4 4 6 3 2 5 4 3 3 4 1 2 1 6 6 1 3 2 6 1 1 2
## [83413] 4 3 4 3 6 6 6 6 6 4 3 6 6 3 3 2 4 3 6 6 2 3 6 3 2 2 5 3 3 3 3 6 1 1 4 3
## [83449] 3 4 3 3 1 4 6 4 4 4 3 4 3 3 6 6 2 4 3 3 2 4 6 3 6 1 3 4 3 3 4 2 5 3 3 4
## [83485] 5 5 2 2 3 3 3 3 6 2 2 3 3 3 3 3 3 3 4 6 2 4 5 6 6 3 1 6 4 3 6 4 2 6 4 1
## [83521] 6 1 3 2 6 2 5 1 1 2 4 3 5 2 3 3 2 2 4 3 2 2 3 3 3 6 6 2 3 6 3 1 5 2 5 4
## [83557] 5 3 3 3 4 3 3 3 4 3 6 2 3 6 1 3 5 1 4 3 6 6 5 2 1 1 4 5 6 2 1 4 4 2 6 1
## [83593] 3 4 6 5 6 3 1 3 3 3 3 6 2 2 3 2 3 2 5 3 2 3 4 1 6 3 5 2 2 6 5 3 6 3 3 2
## [83629] 6 4 2 3 4 6 4 6 3 4 1 3 4 3 3 3 2 1 6 3 2 1 4 2 6 3 6 1 3 6 3 3 4 3 6 4
## [83665] 4 3 3 6 6 6 3 6 3 3 4 2 1 6 4 3 6 4 6 3 1 6 3 3 6 2 3 3 2 3 1 4 1 4 4 4
## [83701] 4 2 5 2 1 2 3 4 1 1 6 5 6 2 4 2 3 6 6 1 6 3 6 6 6 5 4 5 4 2 3 2 2 4 3 3
## [83737] 3 3 4 2 2 4 6 1 3 3 3 4 2 3 3 2 4 4 2 3 4 2 3 3 6 4 2 5 6 6 4 2 3 3 3 2
## [83773] 6 3 3 6 1 6 3 3 4 4 3 3 3 3 4 1 3 3 4 2 1 3 3 3 2 2 4 4 3 6 2 1 3 3 2 3
## [83809] 2 6 3 4 6 3 6 5 3 4 1 2 6 6 3 2 6 4 3 3 3 6 3 1 3 1 3 3 5 1 3 6 4 2 3 6
## [83845] 1 4 1 5 1 5 4 5 6 1 6 6 3 2 3 6 6 2 3 3 6 2 2 3 6 6 2 3 6 1 3 3 3 2 6 2
## [83881] 1 2 3 3 6 6 6 6 6 6 3 3 1 3 6 3 3 2 4 5 4 6 3 3 1 4 3 3 5 6 4 4 3 2 2 4
## [83917] 1 4 4 6 1 6 6 4 3 2 3 2 4 1 3 2 3 4 6 5 6 6 2 2 3 3 4 6 1 3 1 1 3 4 2 1
## [83953] 4 4 2 3 3 6 6 5 3 1 3 3 6 3 3 3 3 3 4 2 1 6 4 3 2 2 3 5 4 3 3 3 1 4 1 2
## [83989] 5 6 6 3 1 6 1 2 6 5 2 4 2 2 2 6 2 4 4 2 3 3 3 3 3 4 1 6 2 6 3 2 4 6 3 3
## [84025] 6 2 3 4 2 2 3 2 3 2 5 6 3 3 3 4 4 2 4 6 6 4 3 3 3 6 5 6 3 3 1 3 2 6 5 2
## [84061] 1 4 4 3 2 2 3 3 2 6 3 4 5 6 3 2 5 3 4 4 4 3 1 6 4 6 3 6 3 3 6 1 3 4 4 6
## [84097] 6 3 1 3 2 3 2 4 4 5 3 3 6 1 4 6 5 1 4 6 2 6 3 5 1 6 2 6 3 3 3 5 2 3 6 2
## [84133] 6 5 3 1 2 3 4 6 3 6 5 3 6 6 3 3 3 5 4 6 3 2 1 3 6 3 1 6 6 4 6 2 3 3 3 5
## [84169] 3 2 3 2 3 4 6 1 2 3 3 6 3 4 2 4 3 2 3 4 5 2 6 2 3 3 1 1 3 4 4 4 2 5 3 1
## [84205] 2 4 4 6 3 4 1 3 6 1 3 6 4 4 4 1 6 3 6 2 6 6 2 2 2 6 4 2 3 3 6 1 3 4 4 1
## [84241] 4 4 3 3 1 5 4 4 6 3 4 2 3 4 3 4 3 3 6 5 1 3 5 3 3 4 3 3 4 1 6 3 2 3 2 6
## [84277] 5 3 5 3 4 4 2 2 4 1 6 4 3 4 2 6 2 3 4 6 4 3 6 3 4 4 6 6 6 3 5 3 4 1 4 2
## [84313] 2 6 4 6 2 3 3 6 4 4 5 4 3 3 3 5 2 3 6 6 3 4 2 2 6 2 4 2 2 1 4 3 3 3 6 2
## [84349] 3 1 3 3 3 3 2 2 1 3 2 4 3 6 3 4 2 2 1 3 4 5 6 3 4 4 6 5 2 3 6 6 3 6 3 4
## [84385] 2 2 3 3 2 4 3 5 3 2 1 3 3 3 4 3 5 3 4 4 3 2 3 3 4 2 3 2 3 5 3 3 2 3 6 1
## [84421] 2 6 4 5 2 4 6 4 3 6 3 6 4 1 3 3 1 4 6 6 3 4 3 4 4 4 3 3 5 4 4 4 2 3 1 4
## [84457] 2 4 3 6 6 4 3 3 3 6 4 5 1 6 1 3 6 2 5 2 2 4 4 2 5 3 2 4 4 3 6 4 4 3 6 2
## [84493] 3 3 3 4 3 6 3 3 3 1 3 3 3 5 3 6 4 1 4 4 1 6 4 5 6 3 6 3 3 6 5 2 6 3 3 2
## [84529] 6 3 4 5 3 2 1 2 4 5 1 2 2 2 3 2 6 2 4 4 6 3 2 3 6 6 3 1 6 4 6 6 6 6 3 2
## [84565] 6 1 3 3 2 2 6 3 6 2 4 2 3 6 4 3 1 4 6 3 3 3 3 3 3 3 1 6 6 2 2 6 5 6 3 6
## [84601] 4 3 3 6 3 4 3 6 4 3 4 5 3 2 2 6 3 6 3 4 3 3 3 4 3 4 3 3 3 3 3 1 6 3 6 4
## [84637] 4 2 3 3 3 3 6 3 2 2 6 1 6 1 3 3 1 6 6 4 6 1 6 1 2 2 2 3 4 3 5 6 5 3 1 4
## [84673] 3 3 4 1 2 6 3 2 6 3 3 3 4 3 4 3 3 2 6 4 3 4 3 1 2 6 6 5 3 1 2 3 1 6 2 3
## [84709] 4 4 5 1 1 3 3 3 3 6 1 4 6 1 4 4 4 6 3 3 3 3 3 2 2 4 4 6 4 5 5 3 3 3 3 2
## [84745] 3 3 6 3 6 2 1 3 3 1 3 4 3 6 1 4 3 3 2 4 6 2 4 2 3 6 2 1 6 6 2 5 3 2 2 6
## [84781] 2 4 2 4 3 3 1 4 6 2 4 3 2 6 6 1 6 5 6 1 3 6 4 4 2 3 3 6 6 3 3 6 2 3 2 3
## [84817] 3 5 2 3 2 2 2 4 3 4 2 1 3 3 6 1 3 6 4 4 1 3 3 2 2 2 6 3 2 4 6 6 3 3 6 6
## [84853] 4 3 1 4 4 2 2 1 3 2 6 3 2 4 2 5 5 4 2 6 6 3 6 1 5 4 3 1 5 4 1 4 3 3 6 3
## [84889] 3 6 4 2 3 3 5 2 1 1 2 3 6 4 2 2 3 3 3 4 3 1 4 3 2 3 6 3 5 6 4 2 4 6 3 3
## [84925] 6 3 3 2 3 5 3 4 3 6 5 3 3 2 6 3 6 1 3 2 3 3 6 1 4 6 3 3 6 4 1 3 3 3 3 2
## [84961] 3 2 4 4 4 4 2 3 4 2 2 4 1 2 6 4 4 3 6 3 6 2 4 4 3 3 1 3 5 6 6 2 3 4 3 3
## [84997] 3 2 3 1 6 4 2 2 2 4 3 3 5 6 3 1 3 3 3 1 4 6 2 6 5 6 2 6 4 2 6 6 6 6 4 1
## [85033] 3 3 3 3 3 2 2 3 3 3 3 4 4 6 4 4 6 4 6 2 4 2 6 2 6 1 2 2 5 3 3 4 3 4 2 1
## [85069] 2 3 5 3 3 3 6 4 4 5 6 1 3 3 4 4 4 4 4 6 5 2 6 3 4 2 2 3 4 3 6 3 3 6 2 1
## [85105] 4 2 1 1 2 2 4 6 4 4 6 3 3 1 4 3 6 2 2 4 6 3 2 6 3 6 1 4 6 1 4 6 6 6 6 4
## [85141] 3 2 5 2 5 6 2 3 3 4 3 3 2 3 4 1 3 4 3 6 4 2 1 5 4 3 3 6 4 6 3 2 3 3 3 6
## [85177] 3 2 4 6 4 4 4 6 3 5 3 4 3 4 4 3 2 6 1 3 6 6 1 1 3 4 3 4 6 3 4 5 3 6 6 4
## [85213] 2 2 3 3 3 4 3 3 3 6 3 3 2
## 
## Within cluster sum of squares by cluster:
## [1] 28900.85 27214.38 52179.09 40054.51 22582.62 42996.53
##  (between_SS / total_SS =  55.6 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
aps_kmeans$centers
##   team_engagement supervisor_engagement senior_manager_engagement
## 1        3.870638              3.859913                  2.542605
## 2        4.754558              4.860256                  4.664482
## 3        4.187342              4.278498                  4.132981
## 4        4.284490              4.365843                  3.334553
## 5        2.665434              2.444540                  2.239692
## 6        3.623004              3.548038                  3.466570
##   agency_engagement team_performance_support risk_culture innovation
## 1          2.750681                 3.098181     2.699827   2.817273
## 2          4.446885                 4.478991     4.184021   4.437042
## 3          3.866867                 3.854483     3.638496   3.788288
## 4          3.523508                 3.797801     3.363561   3.559019
## 5          2.323468                 2.372312     2.265896   2.247769
## 6          3.270901                 3.199223     3.161536   3.174209
##   leadership_engagement wellbeing   values team_performance_rating_binary
## 1              2.077898  3.082662 3.906624                      0.3327147
## 2              4.367062  4.334153 4.832801                      0.8538640
## 3              3.848096  3.867113 4.553060                      0.6301222
## 4              2.937299  3.739733 4.381113                      0.6511293
## 5              2.076069  2.368484 3.108825                      0.1132948
## 6              3.250376  3.276279 3.943989                      0.2373174
aps_kmeans_centres <- as.data.frame(aps_kmeans$centers)
aps_kmeans_centres
##   team_engagement supervisor_engagement senior_manager_engagement
## 1        3.870638              3.859913                  2.542605
## 2        4.754558              4.860256                  4.664482
## 3        4.187342              4.278498                  4.132981
## 4        4.284490              4.365843                  3.334553
## 5        2.665434              2.444540                  2.239692
## 6        3.623004              3.548038                  3.466570
##   agency_engagement team_performance_support risk_culture innovation
## 1          2.750681                 3.098181     2.699827   2.817273
## 2          4.446885                 4.478991     4.184021   4.437042
## 3          3.866867                 3.854483     3.638496   3.788288
## 4          3.523508                 3.797801     3.363561   3.559019
## 5          2.323468                 2.372312     2.265896   2.247769
## 6          3.270901                 3.199223     3.161536   3.174209
##   leadership_engagement wellbeing   values team_performance_rating_binary
## 1              2.077898  3.082662 3.906624                      0.3327147
## 2              4.367062  4.334153 4.832801                      0.8538640
## 3              3.848096  3.867113 4.553060                      0.6301222
## 4              2.937299  3.739733 4.381113                      0.6511293
## 5              2.076069  2.368484 3.108825                      0.1132948
## 6              3.250376  3.276279 3.943989                      0.2373174
table(aps_with_scales_k2$team_performance_rating_binary,aps_kmeans$cluster)
##    
##         1     2     3     4     5     6
##   0  5393  2012  9929  5576  3835 12373
##   1  2689 11756 16915 10407   490  3850
aps_kmeans_centres %>%
  gather("Type", "Value",-team_performance_rating_binary) %>%
  ggplot(aes(team_performance_rating_binary, Value, fill = Type)) +
  geom_col(position = "dodge") +
  theme_bw()+
  facet_wrap(~team_performance_rating_binary,scales = "free_x")